/*
  Copyright (C) 2016-2025 Dan Casarin (https://www.kfrlib.com)
  This file is part of KFR

  KFR is free software: you can redistribute it and/or modify
  it under the terms of the GNU General Public License as published by
  the Free Software Foundation, either version 2 of the License, or
  (at your option) any later version.

  KFR is distributed in the hope that it will be useful,
  but WITHOUT ANY WARRANTY; without even the implied warranty of
  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  GNU General Public License for more details.

  You should have received a copy of the GNU General Public License
  along with KFR.

  If GPL is not suitable for your project, you must purchase a commercial license to use KFR.
  Buying a commercial license is mandatory as soon as you develop commercial activities without
  disclosing the source code of your own applications.
  See https://www.kfrlib.com for details.
 */
#pragma once

namespace kfr
{

namespace data
{
constexpr unsigned short bitrev_table[] = {
    0,    8192, 4096, 12288, 2048, 10240, 6144, 14336, 1024, 9216,  5120, 13312, 3072, 11264, 7168, 15360,
    512,  8704, 4608, 12800, 2560, 10752, 6656, 14848, 1536, 9728,  5632, 13824, 3584, 11776, 7680, 15872,
    256,  8448, 4352, 12544, 2304, 10496, 6400, 14592, 1280, 9472,  5376, 13568, 3328, 11520, 7424, 15616,
    768,  8960, 4864, 13056, 2816, 11008, 6912, 15104, 1792, 9984,  5888, 14080, 3840, 12032, 7936, 16128,
    128,  8320, 4224, 12416, 2176, 10368, 6272, 14464, 1152, 9344,  5248, 13440, 3200, 11392, 7296, 15488,
    640,  8832, 4736, 12928, 2688, 10880, 6784, 14976, 1664, 9856,  5760, 13952, 3712, 11904, 7808, 16000,
    384,  8576, 4480, 12672, 2432, 10624, 6528, 14720, 1408, 9600,  5504, 13696, 3456, 11648, 7552, 15744,
    896,  9088, 4992, 13184, 2944, 11136, 7040, 15232, 1920, 10112, 6016, 14208, 3968, 12160, 8064, 16256,
    64,   8256, 4160, 12352, 2112, 10304, 6208, 14400, 1088, 9280,  5184, 13376, 3136, 11328, 7232, 15424,
    576,  8768, 4672, 12864, 2624, 10816, 6720, 14912, 1600, 9792,  5696, 13888, 3648, 11840, 7744, 15936,
    320,  8512, 4416, 12608, 2368, 10560, 6464, 14656, 1344, 9536,  5440, 13632, 3392, 11584, 7488, 15680,
    832,  9024, 4928, 13120, 2880, 11072, 6976, 15168, 1856, 10048, 5952, 14144, 3904, 12096, 8000, 16192,
    192,  8384, 4288, 12480, 2240, 10432, 6336, 14528, 1216, 9408,  5312, 13504, 3264, 11456, 7360, 15552,
    704,  8896, 4800, 12992, 2752, 10944, 6848, 15040, 1728, 9920,  5824, 14016, 3776, 11968, 7872, 16064,
    448,  8640, 4544, 12736, 2496, 10688, 6592, 14784, 1472, 9664,  5568, 13760, 3520, 11712, 7616, 15808,
    960,  9152, 5056, 13248, 3008, 11200, 7104, 15296, 1984, 10176, 6080, 14272, 4032, 12224, 8128, 16320,
    32,   8224, 4128, 12320, 2080, 10272, 6176, 14368, 1056, 9248,  5152, 13344, 3104, 11296, 7200, 15392,
    544,  8736, 4640, 12832, 2592, 10784, 6688, 14880, 1568, 9760,  5664, 13856, 3616, 11808, 7712, 15904,
    288,  8480, 4384, 12576, 2336, 10528, 6432, 14624, 1312, 9504,  5408, 13600, 3360, 11552, 7456, 15648,
    800,  8992, 4896, 13088, 2848, 11040, 6944, 15136, 1824, 10016, 5920, 14112, 3872, 12064, 7968, 16160,
    160,  8352, 4256, 12448, 2208, 10400, 6304, 14496, 1184, 9376,  5280, 13472, 3232, 11424, 7328, 15520,
    672,  8864, 4768, 12960, 2720, 10912, 6816, 15008, 1696, 9888,  5792, 13984, 3744, 11936, 7840, 16032,
    416,  8608, 4512, 12704, 2464, 10656, 6560, 14752, 1440, 9632,  5536, 13728, 3488, 11680, 7584, 15776,
    928,  9120, 5024, 13216, 2976, 11168, 7072, 15264, 1952, 10144, 6048, 14240, 4000, 12192, 8096, 16288,
    96,   8288, 4192, 12384, 2144, 10336, 6240, 14432, 1120, 9312,  5216, 13408, 3168, 11360, 7264, 15456,
    608,  8800, 4704, 12896, 2656, 10848, 6752, 14944, 1632, 9824,  5728, 13920, 3680, 11872, 7776, 15968,
    352,  8544, 4448, 12640, 2400, 10592, 6496, 14688, 1376, 9568,  5472, 13664, 3424, 11616, 7520, 15712,
    864,  9056, 4960, 13152, 2912, 11104, 7008, 15200, 1888, 10080, 5984, 14176, 3936, 12128, 8032, 16224,
    224,  8416, 4320, 12512, 2272, 10464, 6368, 14560, 1248, 9440,  5344, 13536, 3296, 11488, 7392, 15584,
    736,  8928, 4832, 13024, 2784, 10976, 6880, 15072, 1760, 9952,  5856, 14048, 3808, 12000, 7904, 16096,
    480,  8672, 4576, 12768, 2528, 10720, 6624, 14816, 1504, 9696,  5600, 13792, 3552, 11744, 7648, 15840,
    992,  9184, 5088, 13280, 3040, 11232, 7136, 15328, 2016, 10208, 6112, 14304, 4064, 12256, 8160, 16352,
    16,   8208, 4112, 12304, 2064, 10256, 6160, 14352, 1040, 9232,  5136, 13328, 3088, 11280, 7184, 15376,
    528,  8720, 4624, 12816, 2576, 10768, 6672, 14864, 1552, 9744,  5648, 13840, 3600, 11792, 7696, 15888,
    272,  8464, 4368, 12560, 2320, 10512, 6416, 14608, 1296, 9488,  5392, 13584, 3344, 11536, 7440, 15632,
    784,  8976, 4880, 13072, 2832, 11024, 6928, 15120, 1808, 10000, 5904, 14096, 3856, 12048, 7952, 16144,
    144,  8336, 4240, 12432, 2192, 10384, 6288, 14480, 1168, 9360,  5264, 13456, 3216, 11408, 7312, 15504,
    656,  8848, 4752, 12944, 2704, 10896, 6800, 14992, 1680, 9872,  5776, 13968, 3728, 11920, 7824, 16016,
    400,  8592, 4496, 12688, 2448, 10640, 6544, 14736, 1424, 9616,  5520, 13712, 3472, 11664, 7568, 15760,
    912,  9104, 5008, 13200, 2960, 11152, 7056, 15248, 1936, 10128, 6032, 14224, 3984, 12176, 8080, 16272,
    80,   8272, 4176, 12368, 2128, 10320, 6224, 14416, 1104, 9296,  5200, 13392, 3152, 11344, 7248, 15440,
    592,  8784, 4688, 12880, 2640, 10832, 6736, 14928, 1616, 9808,  5712, 13904, 3664, 11856, 7760, 15952,
    336,  8528, 4432, 12624, 2384, 10576, 6480, 14672, 1360, 9552,  5456, 13648, 3408, 11600, 7504, 15696,
    848,  9040, 4944, 13136, 2896, 11088, 6992, 15184, 1872, 10064, 5968, 14160, 3920, 12112, 8016, 16208,
    208,  8400, 4304, 12496, 2256, 10448, 6352, 14544, 1232, 9424,  5328, 13520, 3280, 11472, 7376, 15568,
    720,  8912, 4816, 13008, 2768, 10960, 6864, 15056, 1744, 9936,  5840, 14032, 3792, 11984, 7888, 16080,
    464,  8656, 4560, 12752, 2512, 10704, 6608, 14800, 1488, 9680,  5584, 13776, 3536, 11728, 7632, 15824,
    976,  9168, 5072, 13264, 3024, 11216, 7120, 15312, 2000, 10192, 6096, 14288, 4048, 12240, 8144, 16336,
    48,   8240, 4144, 12336, 2096, 10288, 6192, 14384, 1072, 9264,  5168, 13360, 3120, 11312, 7216, 15408,
    560,  8752, 4656, 12848, 2608, 10800, 6704, 14896, 1584, 9776,  5680, 13872, 3632, 11824, 7728, 15920,
    304,  8496, 4400, 12592, 2352, 10544, 6448, 14640, 1328, 9520,  5424, 13616, 3376, 11568, 7472, 15664,
    816,  9008, 4912, 13104, 2864, 11056, 6960, 15152, 1840, 10032, 5936, 14128, 3888, 12080, 7984, 16176,
    176,  8368, 4272, 12464, 2224, 10416, 6320, 14512, 1200, 9392,  5296, 13488, 3248, 11440, 7344, 15536,
    688,  8880, 4784, 12976, 2736, 10928, 6832, 15024, 1712, 9904,  5808, 14000, 3760, 11952, 7856, 16048,
    432,  8624, 4528, 12720, 2480, 10672, 6576, 14768, 1456, 9648,  5552, 13744, 3504, 11696, 7600, 15792,
    944,  9136, 5040, 13232, 2992, 11184, 7088, 15280, 1968, 10160, 6064, 14256, 4016, 12208, 8112, 16304,
    112,  8304, 4208, 12400, 2160, 10352, 6256, 14448, 1136, 9328,  5232, 13424, 3184, 11376, 7280, 15472,
    624,  8816, 4720, 12912, 2672, 10864, 6768, 14960, 1648, 9840,  5744, 13936, 3696, 11888, 7792, 15984,
    368,  8560, 4464, 12656, 2416, 10608, 6512, 14704, 1392, 9584,  5488, 13680, 3440, 11632, 7536, 15728,
    880,  9072, 4976, 13168, 2928, 11120, 7024, 15216, 1904, 10096, 6000, 14192, 3952, 12144, 8048, 16240,
    240,  8432, 4336, 12528, 2288, 10480, 6384, 14576, 1264, 9456,  5360, 13552, 3312, 11504, 7408, 15600,
    752,  8944, 4848, 13040, 2800, 10992, 6896, 15088, 1776, 9968,  5872, 14064, 3824, 12016, 7920, 16112,
    496,  8688, 4592, 12784, 2544, 10736, 6640, 14832, 1520, 9712,  5616, 13808, 3568, 11760, 7664, 15856,
    1008, 9200, 5104, 13296, 3056, 11248, 7152, 15344, 2032, 10224, 6128, 14320, 4080, 12272, 8176, 16368,
    8,    8200, 4104, 12296, 2056, 10248, 6152, 14344, 1032, 9224,  5128, 13320, 3080, 11272, 7176, 15368,
    520,  8712, 4616, 12808, 2568, 10760, 6664, 14856, 1544, 9736,  5640, 13832, 3592, 11784, 7688, 15880,
    264,  8456, 4360, 12552, 2312, 10504, 6408, 14600, 1288, 9480,  5384, 13576, 3336, 11528, 7432, 15624,
    776,  8968, 4872, 13064, 2824, 11016, 6920, 15112, 1800, 9992,  5896, 14088, 3848, 12040, 7944, 16136,
    136,  8328, 4232, 12424, 2184, 10376, 6280, 14472, 1160, 9352,  5256, 13448, 3208, 11400, 7304, 15496,
    648,  8840, 4744, 12936, 2696, 10888, 6792, 14984, 1672, 9864,  5768, 13960, 3720, 11912, 7816, 16008,
    392,  8584, 4488, 12680, 2440, 10632, 6536, 14728, 1416, 9608,  5512, 13704, 3464, 11656, 7560, 15752,
    904,  9096, 5000, 13192, 2952, 11144, 7048, 15240, 1928, 10120, 6024, 14216, 3976, 12168, 8072, 16264,
    72,   8264, 4168, 12360, 2120, 10312, 6216, 14408, 1096, 9288,  5192, 13384, 3144, 11336, 7240, 15432,
    584,  8776, 4680, 12872, 2632, 10824, 6728, 14920, 1608, 9800,  5704, 13896, 3656, 11848, 7752, 15944,
    328,  8520, 4424, 12616, 2376, 10568, 6472, 14664, 1352, 9544,  5448, 13640, 3400, 11592, 7496, 15688,
    840,  9032, 4936, 13128, 2888, 11080, 6984, 15176, 1864, 10056, 5960, 14152, 3912, 12104, 8008, 16200,
    200,  8392, 4296, 12488, 2248, 10440, 6344, 14536, 1224, 9416,  5320, 13512, 3272, 11464, 7368, 15560,
    712,  8904, 4808, 13000, 2760, 10952, 6856, 15048, 1736, 9928,  5832, 14024, 3784, 11976, 7880, 16072,
    456,  8648, 4552, 12744, 2504, 10696, 6600, 14792, 1480, 9672,  5576, 13768, 3528, 11720, 7624, 15816,
    968,  9160, 5064, 13256, 3016, 11208, 7112, 15304, 1992, 10184, 6088, 14280, 4040, 12232, 8136, 16328,
    40,   8232, 4136, 12328, 2088, 10280, 6184, 14376, 1064, 9256,  5160, 13352, 3112, 11304, 7208, 15400,
    552,  8744, 4648, 12840, 2600, 10792, 6696, 14888, 1576, 9768,  5672, 13864, 3624, 11816, 7720, 15912,
    296,  8488, 4392, 12584, 2344, 10536, 6440, 14632, 1320, 9512,  5416, 13608, 3368, 11560, 7464, 15656,
    808,  9000, 4904, 13096, 2856, 11048, 6952, 15144, 1832, 10024, 5928, 14120, 3880, 12072, 7976, 16168,
    168,  8360, 4264, 12456, 2216, 10408, 6312, 14504, 1192, 9384,  5288, 13480, 3240, 11432, 7336, 15528,
    680,  8872, 4776, 12968, 2728, 10920, 6824, 15016, 1704, 9896,  5800, 13992, 3752, 11944, 7848, 16040,
    424,  8616, 4520, 12712, 2472, 10664, 6568, 14760, 1448, 9640,  5544, 13736, 3496, 11688, 7592, 15784,
    936,  9128, 5032, 13224, 2984, 11176, 7080, 15272, 1960, 10152, 6056, 14248, 4008, 12200, 8104, 16296,
    104,  8296, 4200, 12392, 2152, 10344, 6248, 14440, 1128, 9320,  5224, 13416, 3176, 11368, 7272, 15464,
    616,  8808, 4712, 12904, 2664, 10856, 6760, 14952, 1640, 9832,  5736, 13928, 3688, 11880, 7784, 15976,
    360,  8552, 4456, 12648, 2408, 10600, 6504, 14696, 1384, 9576,  5480, 13672, 3432, 11624, 7528, 15720,
    872,  9064, 4968, 13160, 2920, 11112, 7016, 15208, 1896, 10088, 5992, 14184, 3944, 12136, 8040, 16232,
    232,  8424, 4328, 12520, 2280, 10472, 6376, 14568, 1256, 9448,  5352, 13544, 3304, 11496, 7400, 15592,
    744,  8936, 4840, 13032, 2792, 10984, 6888, 15080, 1768, 9960,  5864, 14056, 3816, 12008, 7912, 16104,
    488,  8680, 4584, 12776, 2536, 10728, 6632, 14824, 1512, 9704,  5608, 13800, 3560, 11752, 7656, 15848,
    1000, 9192, 5096, 13288, 3048, 11240, 7144, 15336, 2024, 10216, 6120, 14312, 4072, 12264, 8168, 16360,
    24,   8216, 4120, 12312, 2072, 10264, 6168, 14360, 1048, 9240,  5144, 13336, 3096, 11288, 7192, 15384,
    536,  8728, 4632, 12824, 2584, 10776, 6680, 14872, 1560, 9752,  5656, 13848, 3608, 11800, 7704, 15896,
    280,  8472, 4376, 12568, 2328, 10520, 6424, 14616, 1304, 9496,  5400, 13592, 3352, 11544, 7448, 15640,
    792,  8984, 4888, 13080, 2840, 11032, 6936, 15128, 1816, 10008, 5912, 14104, 3864, 12056, 7960, 16152,
    152,  8344, 4248, 12440, 2200, 10392, 6296, 14488, 1176, 9368,  5272, 13464, 3224, 11416, 7320, 15512,
    664,  8856, 4760, 12952, 2712, 10904, 6808, 15000, 1688, 9880,  5784, 13976, 3736, 11928, 7832, 16024,
    408,  8600, 4504, 12696, 2456, 10648, 6552, 14744, 1432, 9624,  5528, 13720, 3480, 11672, 7576, 15768,
    920,  9112, 5016, 13208, 2968, 11160, 7064, 15256, 1944, 10136, 6040, 14232, 3992, 12184, 8088, 16280,
    88,   8280, 4184, 12376, 2136, 10328, 6232, 14424, 1112, 9304,  5208, 13400, 3160, 11352, 7256, 15448,
    600,  8792, 4696, 12888, 2648, 10840, 6744, 14936, 1624, 9816,  5720, 13912, 3672, 11864, 7768, 15960,
    344,  8536, 4440, 12632, 2392, 10584, 6488, 14680, 1368, 9560,  5464, 13656, 3416, 11608, 7512, 15704,
    856,  9048, 4952, 13144, 2904, 11096, 7000, 15192, 1880, 10072, 5976, 14168, 3928, 12120, 8024, 16216,
    216,  8408, 4312, 12504, 2264, 10456, 6360, 14552, 1240, 9432,  5336, 13528, 3288, 11480, 7384, 15576,
    728,  8920, 4824, 13016, 2776, 10968, 6872, 15064, 1752, 9944,  5848, 14040, 3800, 11992, 7896, 16088,
    472,  8664, 4568, 12760, 2520, 10712, 6616, 14808, 1496, 9688,  5592, 13784, 3544, 11736, 7640, 15832,
    984,  9176, 5080, 13272, 3032, 11224, 7128, 15320, 2008, 10200, 6104, 14296, 4056, 12248, 8152, 16344,
    56,   8248, 4152, 12344, 2104, 10296, 6200, 14392, 1080, 9272,  5176, 13368, 3128, 11320, 7224, 15416,
    568,  8760, 4664, 12856, 2616, 10808, 6712, 14904, 1592, 9784,  5688, 13880, 3640, 11832, 7736, 15928,
    312,  8504, 4408, 12600, 2360, 10552, 6456, 14648, 1336, 9528,  5432, 13624, 3384, 11576, 7480, 15672,
    824,  9016, 4920, 13112, 2872, 11064, 6968, 15160, 1848, 10040, 5944, 14136, 3896, 12088, 7992, 16184,
    184,  8376, 4280, 12472, 2232, 10424, 6328, 14520, 1208, 9400,  5304, 13496, 3256, 11448, 7352, 15544,
    696,  8888, 4792, 12984, 2744, 10936, 6840, 15032, 1720, 9912,  5816, 14008, 3768, 11960, 7864, 16056,
    440,  8632, 4536, 12728, 2488, 10680, 6584, 14776, 1464, 9656,  5560, 13752, 3512, 11704, 7608, 15800,
    952,  9144, 5048, 13240, 3000, 11192, 7096, 15288, 1976, 10168, 6072, 14264, 4024, 12216, 8120, 16312,
    120,  8312, 4216, 12408, 2168, 10360, 6264, 14456, 1144, 9336,  5240, 13432, 3192, 11384, 7288, 15480,
    632,  8824, 4728, 12920, 2680, 10872, 6776, 14968, 1656, 9848,  5752, 13944, 3704, 11896, 7800, 15992,
    376,  8568, 4472, 12664, 2424, 10616, 6520, 14712, 1400, 9592,  5496, 13688, 3448, 11640, 7544, 15736,
    888,  9080, 4984, 13176, 2936, 11128, 7032, 15224, 1912, 10104, 6008, 14200, 3960, 12152, 8056, 16248,
    248,  8440, 4344, 12536, 2296, 10488, 6392, 14584, 1272, 9464,  5368, 13560, 3320, 11512, 7416, 15608,
    760,  8952, 4856, 13048, 2808, 11000, 6904, 15096, 1784, 9976,  5880, 14072, 3832, 12024, 7928, 16120,
    504,  8696, 4600, 12792, 2552, 10744, 6648, 14840, 1528, 9720,  5624, 13816, 3576, 11768, 7672, 15864,
    1016, 9208, 5112, 13304, 3064, 11256, 7160, 15352, 2040, 10232, 6136, 14328, 4088, 12280, 8184, 16376,
    4,    8196, 4100, 12292, 2052, 10244, 6148, 14340, 1028, 9220,  5124, 13316, 3076, 11268, 7172, 15364,
    516,  8708, 4612, 12804, 2564, 10756, 6660, 14852, 1540, 9732,  5636, 13828, 3588, 11780, 7684, 15876,
    260,  8452, 4356, 12548, 2308, 10500, 6404, 14596, 1284, 9476,  5380, 13572, 3332, 11524, 7428, 15620,
    772,  8964, 4868, 13060, 2820, 11012, 6916, 15108, 1796, 9988,  5892, 14084, 3844, 12036, 7940, 16132,
    132,  8324, 4228, 12420, 2180, 10372, 6276, 14468, 1156, 9348,  5252, 13444, 3204, 11396, 7300, 15492,
    644,  8836, 4740, 12932, 2692, 10884, 6788, 14980, 1668, 9860,  5764, 13956, 3716, 11908, 7812, 16004,
    388,  8580, 4484, 12676, 2436, 10628, 6532, 14724, 1412, 9604,  5508, 13700, 3460, 11652, 7556, 15748,
    900,  9092, 4996, 13188, 2948, 11140, 7044, 15236, 1924, 10116, 6020, 14212, 3972, 12164, 8068, 16260,
    68,   8260, 4164, 12356, 2116, 10308, 6212, 14404, 1092, 9284,  5188, 13380, 3140, 11332, 7236, 15428,
    580,  8772, 4676, 12868, 2628, 10820, 6724, 14916, 1604, 9796,  5700, 13892, 3652, 11844, 7748, 15940,
    324,  8516, 4420, 12612, 2372, 10564, 6468, 14660, 1348, 9540,  5444, 13636, 3396, 11588, 7492, 15684,
    836,  9028, 4932, 13124, 2884, 11076, 6980, 15172, 1860, 10052, 5956, 14148, 3908, 12100, 8004, 16196,
    196,  8388, 4292, 12484, 2244, 10436, 6340, 14532, 1220, 9412,  5316, 13508, 3268, 11460, 7364, 15556,
    708,  8900, 4804, 12996, 2756, 10948, 6852, 15044, 1732, 9924,  5828, 14020, 3780, 11972, 7876, 16068,
    452,  8644, 4548, 12740, 2500, 10692, 6596, 14788, 1476, 9668,  5572, 13764, 3524, 11716, 7620, 15812,
    964,  9156, 5060, 13252, 3012, 11204, 7108, 15300, 1988, 10180, 6084, 14276, 4036, 12228, 8132, 16324,
    36,   8228, 4132, 12324, 2084, 10276, 6180, 14372, 1060, 9252,  5156, 13348, 3108, 11300, 7204, 15396,
    548,  8740, 4644, 12836, 2596, 10788, 6692, 14884, 1572, 9764,  5668, 13860, 3620, 11812, 7716, 15908,
    292,  8484, 4388, 12580, 2340, 10532, 6436, 14628, 1316, 9508,  5412, 13604, 3364, 11556, 7460, 15652,
    804,  8996, 4900, 13092, 2852, 11044, 6948, 15140, 1828, 10020, 5924, 14116, 3876, 12068, 7972, 16164,
    164,  8356, 4260, 12452, 2212, 10404, 6308, 14500, 1188, 9380,  5284, 13476, 3236, 11428, 7332, 15524,
    676,  8868, 4772, 12964, 2724, 10916, 6820, 15012, 1700, 9892,  5796, 13988, 3748, 11940, 7844, 16036,
    420,  8612, 4516, 12708, 2468, 10660, 6564, 14756, 1444, 9636,  5540, 13732, 3492, 11684, 7588, 15780,
    932,  9124, 5028, 13220, 2980, 11172, 7076, 15268, 1956, 10148, 6052, 14244, 4004, 12196, 8100, 16292,
    100,  8292, 4196, 12388, 2148, 10340, 6244, 14436, 1124, 9316,  5220, 13412, 3172, 11364, 7268, 15460,
    612,  8804, 4708, 12900, 2660, 10852, 6756, 14948, 1636, 9828,  5732, 13924, 3684, 11876, 7780, 15972,
    356,  8548, 4452, 12644, 2404, 10596, 6500, 14692, 1380, 9572,  5476, 13668, 3428, 11620, 7524, 15716,
    868,  9060, 4964, 13156, 2916, 11108, 7012, 15204, 1892, 10084, 5988, 14180, 3940, 12132, 8036, 16228,
    228,  8420, 4324, 12516, 2276, 10468, 6372, 14564, 1252, 9444,  5348, 13540, 3300, 11492, 7396, 15588,
    740,  8932, 4836, 13028, 2788, 10980, 6884, 15076, 1764, 9956,  5860, 14052, 3812, 12004, 7908, 16100,
    484,  8676, 4580, 12772, 2532, 10724, 6628, 14820, 1508, 9700,  5604, 13796, 3556, 11748, 7652, 15844,
    996,  9188, 5092, 13284, 3044, 11236, 7140, 15332, 2020, 10212, 6116, 14308, 4068, 12260, 8164, 16356,
    20,   8212, 4116, 12308, 2068, 10260, 6164, 14356, 1044, 9236,  5140, 13332, 3092, 11284, 7188, 15380,
    532,  8724, 4628, 12820, 2580, 10772, 6676, 14868, 1556, 9748,  5652, 13844, 3604, 11796, 7700, 15892,
    276,  8468, 4372, 12564, 2324, 10516, 6420, 14612, 1300, 9492,  5396, 13588, 3348, 11540, 7444, 15636,
    788,  8980, 4884, 13076, 2836, 11028, 6932, 15124, 1812, 10004, 5908, 14100, 3860, 12052, 7956, 16148,
    148,  8340, 4244, 12436, 2196, 10388, 6292, 14484, 1172, 9364,  5268, 13460, 3220, 11412, 7316, 15508,
    660,  8852, 4756, 12948, 2708, 10900, 6804, 14996, 1684, 9876,  5780, 13972, 3732, 11924, 7828, 16020,
    404,  8596, 4500, 12692, 2452, 10644, 6548, 14740, 1428, 9620,  5524, 13716, 3476, 11668, 7572, 15764,
    916,  9108, 5012, 13204, 2964, 11156, 7060, 15252, 1940, 10132, 6036, 14228, 3988, 12180, 8084, 16276,
    84,   8276, 4180, 12372, 2132, 10324, 6228, 14420, 1108, 9300,  5204, 13396, 3156, 11348, 7252, 15444,
    596,  8788, 4692, 12884, 2644, 10836, 6740, 14932, 1620, 9812,  5716, 13908, 3668, 11860, 7764, 15956,
    340,  8532, 4436, 12628, 2388, 10580, 6484, 14676, 1364, 9556,  5460, 13652, 3412, 11604, 7508, 15700,
    852,  9044, 4948, 13140, 2900, 11092, 6996, 15188, 1876, 10068, 5972, 14164, 3924, 12116, 8020, 16212,
    212,  8404, 4308, 12500, 2260, 10452, 6356, 14548, 1236, 9428,  5332, 13524, 3284, 11476, 7380, 15572,
    724,  8916, 4820, 13012, 2772, 10964, 6868, 15060, 1748, 9940,  5844, 14036, 3796, 11988, 7892, 16084,
    468,  8660, 4564, 12756, 2516, 10708, 6612, 14804, 1492, 9684,  5588, 13780, 3540, 11732, 7636, 15828,
    980,  9172, 5076, 13268, 3028, 11220, 7124, 15316, 2004, 10196, 6100, 14292, 4052, 12244, 8148, 16340,
    52,   8244, 4148, 12340, 2100, 10292, 6196, 14388, 1076, 9268,  5172, 13364, 3124, 11316, 7220, 15412,
    564,  8756, 4660, 12852, 2612, 10804, 6708, 14900, 1588, 9780,  5684, 13876, 3636, 11828, 7732, 15924,
    308,  8500, 4404, 12596, 2356, 10548, 6452, 14644, 1332, 9524,  5428, 13620, 3380, 11572, 7476, 15668,
    820,  9012, 4916, 13108, 2868, 11060, 6964, 15156, 1844, 10036, 5940, 14132, 3892, 12084, 7988, 16180,
    180,  8372, 4276, 12468, 2228, 10420, 6324, 14516, 1204, 9396,  5300, 13492, 3252, 11444, 7348, 15540,
    692,  8884, 4788, 12980, 2740, 10932, 6836, 15028, 1716, 9908,  5812, 14004, 3764, 11956, 7860, 16052,
    436,  8628, 4532, 12724, 2484, 10676, 6580, 14772, 1460, 9652,  5556, 13748, 3508, 11700, 7604, 15796,
    948,  9140, 5044, 13236, 2996, 11188, 7092, 15284, 1972, 10164, 6068, 14260, 4020, 12212, 8116, 16308,
    116,  8308, 4212, 12404, 2164, 10356, 6260, 14452, 1140, 9332,  5236, 13428, 3188, 11380, 7284, 15476,
    628,  8820, 4724, 12916, 2676, 10868, 6772, 14964, 1652, 9844,  5748, 13940, 3700, 11892, 7796, 15988,
    372,  8564, 4468, 12660, 2420, 10612, 6516, 14708, 1396, 9588,  5492, 13684, 3444, 11636, 7540, 15732,
    884,  9076, 4980, 13172, 2932, 11124, 7028, 15220, 1908, 10100, 6004, 14196, 3956, 12148, 8052, 16244,
    244,  8436, 4340, 12532, 2292, 10484, 6388, 14580, 1268, 9460,  5364, 13556, 3316, 11508, 7412, 15604,
    756,  8948, 4852, 13044, 2804, 10996, 6900, 15092, 1780, 9972,  5876, 14068, 3828, 12020, 7924, 16116,
    500,  8692, 4596, 12788, 2548, 10740, 6644, 14836, 1524, 9716,  5620, 13812, 3572, 11764, 7668, 15860,
    1012, 9204, 5108, 13300, 3060, 11252, 7156, 15348, 2036, 10228, 6132, 14324, 4084, 12276, 8180, 16372,
    12,   8204, 4108, 12300, 2060, 10252, 6156, 14348, 1036, 9228,  5132, 13324, 3084, 11276, 7180, 15372,
    524,  8716, 4620, 12812, 2572, 10764, 6668, 14860, 1548, 9740,  5644, 13836, 3596, 11788, 7692, 15884,
    268,  8460, 4364, 12556, 2316, 10508, 6412, 14604, 1292, 9484,  5388, 13580, 3340, 11532, 7436, 15628,
    780,  8972, 4876, 13068, 2828, 11020, 6924, 15116, 1804, 9996,  5900, 14092, 3852, 12044, 7948, 16140,
    140,  8332, 4236, 12428, 2188, 10380, 6284, 14476, 1164, 9356,  5260, 13452, 3212, 11404, 7308, 15500,
    652,  8844, 4748, 12940, 2700, 10892, 6796, 14988, 1676, 9868,  5772, 13964, 3724, 11916, 7820, 16012,
    396,  8588, 4492, 12684, 2444, 10636, 6540, 14732, 1420, 9612,  5516, 13708, 3468, 11660, 7564, 15756,
    908,  9100, 5004, 13196, 2956, 11148, 7052, 15244, 1932, 10124, 6028, 14220, 3980, 12172, 8076, 16268,
    76,   8268, 4172, 12364, 2124, 10316, 6220, 14412, 1100, 9292,  5196, 13388, 3148, 11340, 7244, 15436,
    588,  8780, 4684, 12876, 2636, 10828, 6732, 14924, 1612, 9804,  5708, 13900, 3660, 11852, 7756, 15948,
    332,  8524, 4428, 12620, 2380, 10572, 6476, 14668, 1356, 9548,  5452, 13644, 3404, 11596, 7500, 15692,
    844,  9036, 4940, 13132, 2892, 11084, 6988, 15180, 1868, 10060, 5964, 14156, 3916, 12108, 8012, 16204,
    204,  8396, 4300, 12492, 2252, 10444, 6348, 14540, 1228, 9420,  5324, 13516, 3276, 11468, 7372, 15564,
    716,  8908, 4812, 13004, 2764, 10956, 6860, 15052, 1740, 9932,  5836, 14028, 3788, 11980, 7884, 16076,
    460,  8652, 4556, 12748, 2508, 10700, 6604, 14796, 1484, 9676,  5580, 13772, 3532, 11724, 7628, 15820,
    972,  9164, 5068, 13260, 3020, 11212, 7116, 15308, 1996, 10188, 6092, 14284, 4044, 12236, 8140, 16332,
    44,   8236, 4140, 12332, 2092, 10284, 6188, 14380, 1068, 9260,  5164, 13356, 3116, 11308, 7212, 15404,
    556,  8748, 4652, 12844, 2604, 10796, 6700, 14892, 1580, 9772,  5676, 13868, 3628, 11820, 7724, 15916,
    300,  8492, 4396, 12588, 2348, 10540, 6444, 14636, 1324, 9516,  5420, 13612, 3372, 11564, 7468, 15660,
    812,  9004, 4908, 13100, 2860, 11052, 6956, 15148, 1836, 10028, 5932, 14124, 3884, 12076, 7980, 16172,
    172,  8364, 4268, 12460, 2220, 10412, 6316, 14508, 1196, 9388,  5292, 13484, 3244, 11436, 7340, 15532,
    684,  8876, 4780, 12972, 2732, 10924, 6828, 15020, 1708, 9900,  5804, 13996, 3756, 11948, 7852, 16044,
    428,  8620, 4524, 12716, 2476, 10668, 6572, 14764, 1452, 9644,  5548, 13740, 3500, 11692, 7596, 15788,
    940,  9132, 5036, 13228, 2988, 11180, 7084, 15276, 1964, 10156, 6060, 14252, 4012, 12204, 8108, 16300,
    108,  8300, 4204, 12396, 2156, 10348, 6252, 14444, 1132, 9324,  5228, 13420, 3180, 11372, 7276, 15468,
    620,  8812, 4716, 12908, 2668, 10860, 6764, 14956, 1644, 9836,  5740, 13932, 3692, 11884, 7788, 15980,
    364,  8556, 4460, 12652, 2412, 10604, 6508, 14700, 1388, 9580,  5484, 13676, 3436, 11628, 7532, 15724,
    876,  9068, 4972, 13164, 2924, 11116, 7020, 15212, 1900, 10092, 5996, 14188, 3948, 12140, 8044, 16236,
    236,  8428, 4332, 12524, 2284, 10476, 6380, 14572, 1260, 9452,  5356, 13548, 3308, 11500, 7404, 15596,
    748,  8940, 4844, 13036, 2796, 10988, 6892, 15084, 1772, 9964,  5868, 14060, 3820, 12012, 7916, 16108,
    492,  8684, 4588, 12780, 2540, 10732, 6636, 14828, 1516, 9708,  5612, 13804, 3564, 11756, 7660, 15852,
    1004, 9196, 5100, 13292, 3052, 11244, 7148, 15340, 2028, 10220, 6124, 14316, 4076, 12268, 8172, 16364,
    28,   8220, 4124, 12316, 2076, 10268, 6172, 14364, 1052, 9244,  5148, 13340, 3100, 11292, 7196, 15388,
    540,  8732, 4636, 12828, 2588, 10780, 6684, 14876, 1564, 9756,  5660, 13852, 3612, 11804, 7708, 15900,
    284,  8476, 4380, 12572, 2332, 10524, 6428, 14620, 1308, 9500,  5404, 13596, 3356, 11548, 7452, 15644,
    796,  8988, 4892, 13084, 2844, 11036, 6940, 15132, 1820, 10012, 5916, 14108, 3868, 12060, 7964, 16156,
    156,  8348, 4252, 12444, 2204, 10396, 6300, 14492, 1180, 9372,  5276, 13468, 3228, 11420, 7324, 15516,
    668,  8860, 4764, 12956, 2716, 10908, 6812, 15004, 1692, 9884,  5788, 13980, 3740, 11932, 7836, 16028,
    412,  8604, 4508, 12700, 2460, 10652, 6556, 14748, 1436, 9628,  5532, 13724, 3484, 11676, 7580, 15772,
    924,  9116, 5020, 13212, 2972, 11164, 7068, 15260, 1948, 10140, 6044, 14236, 3996, 12188, 8092, 16284,
    92,   8284, 4188, 12380, 2140, 10332, 6236, 14428, 1116, 9308,  5212, 13404, 3164, 11356, 7260, 15452,
    604,  8796, 4700, 12892, 2652, 10844, 6748, 14940, 1628, 9820,  5724, 13916, 3676, 11868, 7772, 15964,
    348,  8540, 4444, 12636, 2396, 10588, 6492, 14684, 1372, 9564,  5468, 13660, 3420, 11612, 7516, 15708,
    860,  9052, 4956, 13148, 2908, 11100, 7004, 15196, 1884, 10076, 5980, 14172, 3932, 12124, 8028, 16220,
    220,  8412, 4316, 12508, 2268, 10460, 6364, 14556, 1244, 9436,  5340, 13532, 3292, 11484, 7388, 15580,
    732,  8924, 4828, 13020, 2780, 10972, 6876, 15068, 1756, 9948,  5852, 14044, 3804, 11996, 7900, 16092,
    476,  8668, 4572, 12764, 2524, 10716, 6620, 14812, 1500, 9692,  5596, 13788, 3548, 11740, 7644, 15836,
    988,  9180, 5084, 13276, 3036, 11228, 7132, 15324, 2012, 10204, 6108, 14300, 4060, 12252, 8156, 16348,
    60,   8252, 4156, 12348, 2108, 10300, 6204, 14396, 1084, 9276,  5180, 13372, 3132, 11324, 7228, 15420,
    572,  8764, 4668, 12860, 2620, 10812, 6716, 14908, 1596, 9788,  5692, 13884, 3644, 11836, 7740, 15932,
    316,  8508, 4412, 12604, 2364, 10556, 6460, 14652, 1340, 9532,  5436, 13628, 3388, 11580, 7484, 15676,
    828,  9020, 4924, 13116, 2876, 11068, 6972, 15164, 1852, 10044, 5948, 14140, 3900, 12092, 7996, 16188,
    188,  8380, 4284, 12476, 2236, 10428, 6332, 14524, 1212, 9404,  5308, 13500, 3260, 11452, 7356, 15548,
    700,  8892, 4796, 12988, 2748, 10940, 6844, 15036, 1724, 9916,  5820, 14012, 3772, 11964, 7868, 16060,
    444,  8636, 4540, 12732, 2492, 10684, 6588, 14780, 1468, 9660,  5564, 13756, 3516, 11708, 7612, 15804,
    956,  9148, 5052, 13244, 3004, 11196, 7100, 15292, 1980, 10172, 6076, 14268, 4028, 12220, 8124, 16316,
    124,  8316, 4220, 12412, 2172, 10364, 6268, 14460, 1148, 9340,  5244, 13436, 3196, 11388, 7292, 15484,
    636,  8828, 4732, 12924, 2684, 10876, 6780, 14972, 1660, 9852,  5756, 13948, 3708, 11900, 7804, 15996,
    380,  8572, 4476, 12668, 2428, 10620, 6524, 14716, 1404, 9596,  5500, 13692, 3452, 11644, 7548, 15740,
    892,  9084, 4988, 13180, 2940, 11132, 7036, 15228, 1916, 10108, 6012, 14204, 3964, 12156, 8060, 16252,
    252,  8444, 4348, 12540, 2300, 10492, 6396, 14588, 1276, 9468,  5372, 13564, 3324, 11516, 7420, 15612,
    764,  8956, 4860, 13052, 2812, 11004, 6908, 15100, 1788, 9980,  5884, 14076, 3836, 12028, 7932, 16124,
    508,  8700, 4604, 12796, 2556, 10748, 6652, 14844, 1532, 9724,  5628, 13820, 3580, 11772, 7676, 15868,
    1020, 9212, 5116, 13308, 3068, 11260, 7164, 15356, 2044, 10236, 6140, 14332, 4092, 12284, 8188, 16380,
    2,    8194, 4098, 12290, 2050, 10242, 6146, 14338, 1026, 9218,  5122, 13314, 3074, 11266, 7170, 15362,
    514,  8706, 4610, 12802, 2562, 10754, 6658, 14850, 1538, 9730,  5634, 13826, 3586, 11778, 7682, 15874,
    258,  8450, 4354, 12546, 2306, 10498, 6402, 14594, 1282, 9474,  5378, 13570, 3330, 11522, 7426, 15618,
    770,  8962, 4866, 13058, 2818, 11010, 6914, 15106, 1794, 9986,  5890, 14082, 3842, 12034, 7938, 16130,
    130,  8322, 4226, 12418, 2178, 10370, 6274, 14466, 1154, 9346,  5250, 13442, 3202, 11394, 7298, 15490,
    642,  8834, 4738, 12930, 2690, 10882, 6786, 14978, 1666, 9858,  5762, 13954, 3714, 11906, 7810, 16002,
    386,  8578, 4482, 12674, 2434, 10626, 6530, 14722, 1410, 9602,  5506, 13698, 3458, 11650, 7554, 15746,
    898,  9090, 4994, 13186, 2946, 11138, 7042, 15234, 1922, 10114, 6018, 14210, 3970, 12162, 8066, 16258,
    66,   8258, 4162, 12354, 2114, 10306, 6210, 14402, 1090, 9282,  5186, 13378, 3138, 11330, 7234, 15426,
    578,  8770, 4674, 12866, 2626, 10818, 6722, 14914, 1602, 9794,  5698, 13890, 3650, 11842, 7746, 15938,
    322,  8514, 4418, 12610, 2370, 10562, 6466, 14658, 1346, 9538,  5442, 13634, 3394, 11586, 7490, 15682,
    834,  9026, 4930, 13122, 2882, 11074, 6978, 15170, 1858, 10050, 5954, 14146, 3906, 12098, 8002, 16194,
    194,  8386, 4290, 12482, 2242, 10434, 6338, 14530, 1218, 9410,  5314, 13506, 3266, 11458, 7362, 15554,
    706,  8898, 4802, 12994, 2754, 10946, 6850, 15042, 1730, 9922,  5826, 14018, 3778, 11970, 7874, 16066,
    450,  8642, 4546, 12738, 2498, 10690, 6594, 14786, 1474, 9666,  5570, 13762, 3522, 11714, 7618, 15810,
    962,  9154, 5058, 13250, 3010, 11202, 7106, 15298, 1986, 10178, 6082, 14274, 4034, 12226, 8130, 16322,
    34,   8226, 4130, 12322, 2082, 10274, 6178, 14370, 1058, 9250,  5154, 13346, 3106, 11298, 7202, 15394,
    546,  8738, 4642, 12834, 2594, 10786, 6690, 14882, 1570, 9762,  5666, 13858, 3618, 11810, 7714, 15906,
    290,  8482, 4386, 12578, 2338, 10530, 6434, 14626, 1314, 9506,  5410, 13602, 3362, 11554, 7458, 15650,
    802,  8994, 4898, 13090, 2850, 11042, 6946, 15138, 1826, 10018, 5922, 14114, 3874, 12066, 7970, 16162,
    162,  8354, 4258, 12450, 2210, 10402, 6306, 14498, 1186, 9378,  5282, 13474, 3234, 11426, 7330, 15522,
    674,  8866, 4770, 12962, 2722, 10914, 6818, 15010, 1698, 9890,  5794, 13986, 3746, 11938, 7842, 16034,
    418,  8610, 4514, 12706, 2466, 10658, 6562, 14754, 1442, 9634,  5538, 13730, 3490, 11682, 7586, 15778,
    930,  9122, 5026, 13218, 2978, 11170, 7074, 15266, 1954, 10146, 6050, 14242, 4002, 12194, 8098, 16290,
    98,   8290, 4194, 12386, 2146, 10338, 6242, 14434, 1122, 9314,  5218, 13410, 3170, 11362, 7266, 15458,
    610,  8802, 4706, 12898, 2658, 10850, 6754, 14946, 1634, 9826,  5730, 13922, 3682, 11874, 7778, 15970,
    354,  8546, 4450, 12642, 2402, 10594, 6498, 14690, 1378, 9570,  5474, 13666, 3426, 11618, 7522, 15714,
    866,  9058, 4962, 13154, 2914, 11106, 7010, 15202, 1890, 10082, 5986, 14178, 3938, 12130, 8034, 16226,
    226,  8418, 4322, 12514, 2274, 10466, 6370, 14562, 1250, 9442,  5346, 13538, 3298, 11490, 7394, 15586,
    738,  8930, 4834, 13026, 2786, 10978, 6882, 15074, 1762, 9954,  5858, 14050, 3810, 12002, 7906, 16098,
    482,  8674, 4578, 12770, 2530, 10722, 6626, 14818, 1506, 9698,  5602, 13794, 3554, 11746, 7650, 15842,
    994,  9186, 5090, 13282, 3042, 11234, 7138, 15330, 2018, 10210, 6114, 14306, 4066, 12258, 8162, 16354,
    18,   8210, 4114, 12306, 2066, 10258, 6162, 14354, 1042, 9234,  5138, 13330, 3090, 11282, 7186, 15378,
    530,  8722, 4626, 12818, 2578, 10770, 6674, 14866, 1554, 9746,  5650, 13842, 3602, 11794, 7698, 15890,
    274,  8466, 4370, 12562, 2322, 10514, 6418, 14610, 1298, 9490,  5394, 13586, 3346, 11538, 7442, 15634,
    786,  8978, 4882, 13074, 2834, 11026, 6930, 15122, 1810, 10002, 5906, 14098, 3858, 12050, 7954, 16146,
    146,  8338, 4242, 12434, 2194, 10386, 6290, 14482, 1170, 9362,  5266, 13458, 3218, 11410, 7314, 15506,
    658,  8850, 4754, 12946, 2706, 10898, 6802, 14994, 1682, 9874,  5778, 13970, 3730, 11922, 7826, 16018,
    402,  8594, 4498, 12690, 2450, 10642, 6546, 14738, 1426, 9618,  5522, 13714, 3474, 11666, 7570, 15762,
    914,  9106, 5010, 13202, 2962, 11154, 7058, 15250, 1938, 10130, 6034, 14226, 3986, 12178, 8082, 16274,
    82,   8274, 4178, 12370, 2130, 10322, 6226, 14418, 1106, 9298,  5202, 13394, 3154, 11346, 7250, 15442,
    594,  8786, 4690, 12882, 2642, 10834, 6738, 14930, 1618, 9810,  5714, 13906, 3666, 11858, 7762, 15954,
    338,  8530, 4434, 12626, 2386, 10578, 6482, 14674, 1362, 9554,  5458, 13650, 3410, 11602, 7506, 15698,
    850,  9042, 4946, 13138, 2898, 11090, 6994, 15186, 1874, 10066, 5970, 14162, 3922, 12114, 8018, 16210,
    210,  8402, 4306, 12498, 2258, 10450, 6354, 14546, 1234, 9426,  5330, 13522, 3282, 11474, 7378, 15570,
    722,  8914, 4818, 13010, 2770, 10962, 6866, 15058, 1746, 9938,  5842, 14034, 3794, 11986, 7890, 16082,
    466,  8658, 4562, 12754, 2514, 10706, 6610, 14802, 1490, 9682,  5586, 13778, 3538, 11730, 7634, 15826,
    978,  9170, 5074, 13266, 3026, 11218, 7122, 15314, 2002, 10194, 6098, 14290, 4050, 12242, 8146, 16338,
    50,   8242, 4146, 12338, 2098, 10290, 6194, 14386, 1074, 9266,  5170, 13362, 3122, 11314, 7218, 15410,
    562,  8754, 4658, 12850, 2610, 10802, 6706, 14898, 1586, 9778,  5682, 13874, 3634, 11826, 7730, 15922,
    306,  8498, 4402, 12594, 2354, 10546, 6450, 14642, 1330, 9522,  5426, 13618, 3378, 11570, 7474, 15666,
    818,  9010, 4914, 13106, 2866, 11058, 6962, 15154, 1842, 10034, 5938, 14130, 3890, 12082, 7986, 16178,
    178,  8370, 4274, 12466, 2226, 10418, 6322, 14514, 1202, 9394,  5298, 13490, 3250, 11442, 7346, 15538,
    690,  8882, 4786, 12978, 2738, 10930, 6834, 15026, 1714, 9906,  5810, 14002, 3762, 11954, 7858, 16050,
    434,  8626, 4530, 12722, 2482, 10674, 6578, 14770, 1458, 9650,  5554, 13746, 3506, 11698, 7602, 15794,
    946,  9138, 5042, 13234, 2994, 11186, 7090, 15282, 1970, 10162, 6066, 14258, 4018, 12210, 8114, 16306,
    114,  8306, 4210, 12402, 2162, 10354, 6258, 14450, 1138, 9330,  5234, 13426, 3186, 11378, 7282, 15474,
    626,  8818, 4722, 12914, 2674, 10866, 6770, 14962, 1650, 9842,  5746, 13938, 3698, 11890, 7794, 15986,
    370,  8562, 4466, 12658, 2418, 10610, 6514, 14706, 1394, 9586,  5490, 13682, 3442, 11634, 7538, 15730,
    882,  9074, 4978, 13170, 2930, 11122, 7026, 15218, 1906, 10098, 6002, 14194, 3954, 12146, 8050, 16242,
    242,  8434, 4338, 12530, 2290, 10482, 6386, 14578, 1266, 9458,  5362, 13554, 3314, 11506, 7410, 15602,
    754,  8946, 4850, 13042, 2802, 10994, 6898, 15090, 1778, 9970,  5874, 14066, 3826, 12018, 7922, 16114,
    498,  8690, 4594, 12786, 2546, 10738, 6642, 14834, 1522, 9714,  5618, 13810, 3570, 11762, 7666, 15858,
    1010, 9202, 5106, 13298, 3058, 11250, 7154, 15346, 2034, 10226, 6130, 14322, 4082, 12274, 8178, 16370,
    10,   8202, 4106, 12298, 2058, 10250, 6154, 14346, 1034, 9226,  5130, 13322, 3082, 11274, 7178, 15370,
    522,  8714, 4618, 12810, 2570, 10762, 6666, 14858, 1546, 9738,  5642, 13834, 3594, 11786, 7690, 15882,
    266,  8458, 4362, 12554, 2314, 10506, 6410, 14602, 1290, 9482,  5386, 13578, 3338, 11530, 7434, 15626,
    778,  8970, 4874, 13066, 2826, 11018, 6922, 15114, 1802, 9994,  5898, 14090, 3850, 12042, 7946, 16138,
    138,  8330, 4234, 12426, 2186, 10378, 6282, 14474, 1162, 9354,  5258, 13450, 3210, 11402, 7306, 15498,
    650,  8842, 4746, 12938, 2698, 10890, 6794, 14986, 1674, 9866,  5770, 13962, 3722, 11914, 7818, 16010,
    394,  8586, 4490, 12682, 2442, 10634, 6538, 14730, 1418, 9610,  5514, 13706, 3466, 11658, 7562, 15754,
    906,  9098, 5002, 13194, 2954, 11146, 7050, 15242, 1930, 10122, 6026, 14218, 3978, 12170, 8074, 16266,
    74,   8266, 4170, 12362, 2122, 10314, 6218, 14410, 1098, 9290,  5194, 13386, 3146, 11338, 7242, 15434,
    586,  8778, 4682, 12874, 2634, 10826, 6730, 14922, 1610, 9802,  5706, 13898, 3658, 11850, 7754, 15946,
    330,  8522, 4426, 12618, 2378, 10570, 6474, 14666, 1354, 9546,  5450, 13642, 3402, 11594, 7498, 15690,
    842,  9034, 4938, 13130, 2890, 11082, 6986, 15178, 1866, 10058, 5962, 14154, 3914, 12106, 8010, 16202,
    202,  8394, 4298, 12490, 2250, 10442, 6346, 14538, 1226, 9418,  5322, 13514, 3274, 11466, 7370, 15562,
    714,  8906, 4810, 13002, 2762, 10954, 6858, 15050, 1738, 9930,  5834, 14026, 3786, 11978, 7882, 16074,
    458,  8650, 4554, 12746, 2506, 10698, 6602, 14794, 1482, 9674,  5578, 13770, 3530, 11722, 7626, 15818,
    970,  9162, 5066, 13258, 3018, 11210, 7114, 15306, 1994, 10186, 6090, 14282, 4042, 12234, 8138, 16330,
    42,   8234, 4138, 12330, 2090, 10282, 6186, 14378, 1066, 9258,  5162, 13354, 3114, 11306, 7210, 15402,
    554,  8746, 4650, 12842, 2602, 10794, 6698, 14890, 1578, 9770,  5674, 13866, 3626, 11818, 7722, 15914,
    298,  8490, 4394, 12586, 2346, 10538, 6442, 14634, 1322, 9514,  5418, 13610, 3370, 11562, 7466, 15658,
    810,  9002, 4906, 13098, 2858, 11050, 6954, 15146, 1834, 10026, 5930, 14122, 3882, 12074, 7978, 16170,
    170,  8362, 4266, 12458, 2218, 10410, 6314, 14506, 1194, 9386,  5290, 13482, 3242, 11434, 7338, 15530,
    682,  8874, 4778, 12970, 2730, 10922, 6826, 15018, 1706, 9898,  5802, 13994, 3754, 11946, 7850, 16042,
    426,  8618, 4522, 12714, 2474, 10666, 6570, 14762, 1450, 9642,  5546, 13738, 3498, 11690, 7594, 15786,
    938,  9130, 5034, 13226, 2986, 11178, 7082, 15274, 1962, 10154, 6058, 14250, 4010, 12202, 8106, 16298,
    106,  8298, 4202, 12394, 2154, 10346, 6250, 14442, 1130, 9322,  5226, 13418, 3178, 11370, 7274, 15466,
    618,  8810, 4714, 12906, 2666, 10858, 6762, 14954, 1642, 9834,  5738, 13930, 3690, 11882, 7786, 15978,
    362,  8554, 4458, 12650, 2410, 10602, 6506, 14698, 1386, 9578,  5482, 13674, 3434, 11626, 7530, 15722,
    874,  9066, 4970, 13162, 2922, 11114, 7018, 15210, 1898, 10090, 5994, 14186, 3946, 12138, 8042, 16234,
    234,  8426, 4330, 12522, 2282, 10474, 6378, 14570, 1258, 9450,  5354, 13546, 3306, 11498, 7402, 15594,
    746,  8938, 4842, 13034, 2794, 10986, 6890, 15082, 1770, 9962,  5866, 14058, 3818, 12010, 7914, 16106,
    490,  8682, 4586, 12778, 2538, 10730, 6634, 14826, 1514, 9706,  5610, 13802, 3562, 11754, 7658, 15850,
    1002, 9194, 5098, 13290, 3050, 11242, 7146, 15338, 2026, 10218, 6122, 14314, 4074, 12266, 8170, 16362,
    26,   8218, 4122, 12314, 2074, 10266, 6170, 14362, 1050, 9242,  5146, 13338, 3098, 11290, 7194, 15386,
    538,  8730, 4634, 12826, 2586, 10778, 6682, 14874, 1562, 9754,  5658, 13850, 3610, 11802, 7706, 15898,
    282,  8474, 4378, 12570, 2330, 10522, 6426, 14618, 1306, 9498,  5402, 13594, 3354, 11546, 7450, 15642,
    794,  8986, 4890, 13082, 2842, 11034, 6938, 15130, 1818, 10010, 5914, 14106, 3866, 12058, 7962, 16154,
    154,  8346, 4250, 12442, 2202, 10394, 6298, 14490, 1178, 9370,  5274, 13466, 3226, 11418, 7322, 15514,
    666,  8858, 4762, 12954, 2714, 10906, 6810, 15002, 1690, 9882,  5786, 13978, 3738, 11930, 7834, 16026,
    410,  8602, 4506, 12698, 2458, 10650, 6554, 14746, 1434, 9626,  5530, 13722, 3482, 11674, 7578, 15770,
    922,  9114, 5018, 13210, 2970, 11162, 7066, 15258, 1946, 10138, 6042, 14234, 3994, 12186, 8090, 16282,
    90,   8282, 4186, 12378, 2138, 10330, 6234, 14426, 1114, 9306,  5210, 13402, 3162, 11354, 7258, 15450,
    602,  8794, 4698, 12890, 2650, 10842, 6746, 14938, 1626, 9818,  5722, 13914, 3674, 11866, 7770, 15962,
    346,  8538, 4442, 12634, 2394, 10586, 6490, 14682, 1370, 9562,  5466, 13658, 3418, 11610, 7514, 15706,
    858,  9050, 4954, 13146, 2906, 11098, 7002, 15194, 1882, 10074, 5978, 14170, 3930, 12122, 8026, 16218,
    218,  8410, 4314, 12506, 2266, 10458, 6362, 14554, 1242, 9434,  5338, 13530, 3290, 11482, 7386, 15578,
    730,  8922, 4826, 13018, 2778, 10970, 6874, 15066, 1754, 9946,  5850, 14042, 3802, 11994, 7898, 16090,
    474,  8666, 4570, 12762, 2522, 10714, 6618, 14810, 1498, 9690,  5594, 13786, 3546, 11738, 7642, 15834,
    986,  9178, 5082, 13274, 3034, 11226, 7130, 15322, 2010, 10202, 6106, 14298, 4058, 12250, 8154, 16346,
    58,   8250, 4154, 12346, 2106, 10298, 6202, 14394, 1082, 9274,  5178, 13370, 3130, 11322, 7226, 15418,
    570,  8762, 4666, 12858, 2618, 10810, 6714, 14906, 1594, 9786,  5690, 13882, 3642, 11834, 7738, 15930,
    314,  8506, 4410, 12602, 2362, 10554, 6458, 14650, 1338, 9530,  5434, 13626, 3386, 11578, 7482, 15674,
    826,  9018, 4922, 13114, 2874, 11066, 6970, 15162, 1850, 10042, 5946, 14138, 3898, 12090, 7994, 16186,
    186,  8378, 4282, 12474, 2234, 10426, 6330, 14522, 1210, 9402,  5306, 13498, 3258, 11450, 7354, 15546,
    698,  8890, 4794, 12986, 2746, 10938, 6842, 15034, 1722, 9914,  5818, 14010, 3770, 11962, 7866, 16058,
    442,  8634, 4538, 12730, 2490, 10682, 6586, 14778, 1466, 9658,  5562, 13754, 3514, 11706, 7610, 15802,
    954,  9146, 5050, 13242, 3002, 11194, 7098, 15290, 1978, 10170, 6074, 14266, 4026, 12218, 8122, 16314,
    122,  8314, 4218, 12410, 2170, 10362, 6266, 14458, 1146, 9338,  5242, 13434, 3194, 11386, 7290, 15482,
    634,  8826, 4730, 12922, 2682, 10874, 6778, 14970, 1658, 9850,  5754, 13946, 3706, 11898, 7802, 15994,
    378,  8570, 4474, 12666, 2426, 10618, 6522, 14714, 1402, 9594,  5498, 13690, 3450, 11642, 7546, 15738,
    890,  9082, 4986, 13178, 2938, 11130, 7034, 15226, 1914, 10106, 6010, 14202, 3962, 12154, 8058, 16250,
    250,  8442, 4346, 12538, 2298, 10490, 6394, 14586, 1274, 9466,  5370, 13562, 3322, 11514, 7418, 15610,
    762,  8954, 4858, 13050, 2810, 11002, 6906, 15098, 1786, 9978,  5882, 14074, 3834, 12026, 7930, 16122,
    506,  8698, 4602, 12794, 2554, 10746, 6650, 14842, 1530, 9722,  5626, 13818, 3578, 11770, 7674, 15866,
    1018, 9210, 5114, 13306, 3066, 11258, 7162, 15354, 2042, 10234, 6138, 14330, 4090, 12282, 8186, 16378,
    6,    8198, 4102, 12294, 2054, 10246, 6150, 14342, 1030, 9222,  5126, 13318, 3078, 11270, 7174, 15366,
    518,  8710, 4614, 12806, 2566, 10758, 6662, 14854, 1542, 9734,  5638, 13830, 3590, 11782, 7686, 15878,
    262,  8454, 4358, 12550, 2310, 10502, 6406, 14598, 1286, 9478,  5382, 13574, 3334, 11526, 7430, 15622,
    774,  8966, 4870, 13062, 2822, 11014, 6918, 15110, 1798, 9990,  5894, 14086, 3846, 12038, 7942, 16134,
    134,  8326, 4230, 12422, 2182, 10374, 6278, 14470, 1158, 9350,  5254, 13446, 3206, 11398, 7302, 15494,
    646,  8838, 4742, 12934, 2694, 10886, 6790, 14982, 1670, 9862,  5766, 13958, 3718, 11910, 7814, 16006,
    390,  8582, 4486, 12678, 2438, 10630, 6534, 14726, 1414, 9606,  5510, 13702, 3462, 11654, 7558, 15750,
    902,  9094, 4998, 13190, 2950, 11142, 7046, 15238, 1926, 10118, 6022, 14214, 3974, 12166, 8070, 16262,
    70,   8262, 4166, 12358, 2118, 10310, 6214, 14406, 1094, 9286,  5190, 13382, 3142, 11334, 7238, 15430,
    582,  8774, 4678, 12870, 2630, 10822, 6726, 14918, 1606, 9798,  5702, 13894, 3654, 11846, 7750, 15942,
    326,  8518, 4422, 12614, 2374, 10566, 6470, 14662, 1350, 9542,  5446, 13638, 3398, 11590, 7494, 15686,
    838,  9030, 4934, 13126, 2886, 11078, 6982, 15174, 1862, 10054, 5958, 14150, 3910, 12102, 8006, 16198,
    198,  8390, 4294, 12486, 2246, 10438, 6342, 14534, 1222, 9414,  5318, 13510, 3270, 11462, 7366, 15558,
    710,  8902, 4806, 12998, 2758, 10950, 6854, 15046, 1734, 9926,  5830, 14022, 3782, 11974, 7878, 16070,
    454,  8646, 4550, 12742, 2502, 10694, 6598, 14790, 1478, 9670,  5574, 13766, 3526, 11718, 7622, 15814,
    966,  9158, 5062, 13254, 3014, 11206, 7110, 15302, 1990, 10182, 6086, 14278, 4038, 12230, 8134, 16326,
    38,   8230, 4134, 12326, 2086, 10278, 6182, 14374, 1062, 9254,  5158, 13350, 3110, 11302, 7206, 15398,
    550,  8742, 4646, 12838, 2598, 10790, 6694, 14886, 1574, 9766,  5670, 13862, 3622, 11814, 7718, 15910,
    294,  8486, 4390, 12582, 2342, 10534, 6438, 14630, 1318, 9510,  5414, 13606, 3366, 11558, 7462, 15654,
    806,  8998, 4902, 13094, 2854, 11046, 6950, 15142, 1830, 10022, 5926, 14118, 3878, 12070, 7974, 16166,
    166,  8358, 4262, 12454, 2214, 10406, 6310, 14502, 1190, 9382,  5286, 13478, 3238, 11430, 7334, 15526,
    678,  8870, 4774, 12966, 2726, 10918, 6822, 15014, 1702, 9894,  5798, 13990, 3750, 11942, 7846, 16038,
    422,  8614, 4518, 12710, 2470, 10662, 6566, 14758, 1446, 9638,  5542, 13734, 3494, 11686, 7590, 15782,
    934,  9126, 5030, 13222, 2982, 11174, 7078, 15270, 1958, 10150, 6054, 14246, 4006, 12198, 8102, 16294,
    102,  8294, 4198, 12390, 2150, 10342, 6246, 14438, 1126, 9318,  5222, 13414, 3174, 11366, 7270, 15462,
    614,  8806, 4710, 12902, 2662, 10854, 6758, 14950, 1638, 9830,  5734, 13926, 3686, 11878, 7782, 15974,
    358,  8550, 4454, 12646, 2406, 10598, 6502, 14694, 1382, 9574,  5478, 13670, 3430, 11622, 7526, 15718,
    870,  9062, 4966, 13158, 2918, 11110, 7014, 15206, 1894, 10086, 5990, 14182, 3942, 12134, 8038, 16230,
    230,  8422, 4326, 12518, 2278, 10470, 6374, 14566, 1254, 9446,  5350, 13542, 3302, 11494, 7398, 15590,
    742,  8934, 4838, 13030, 2790, 10982, 6886, 15078, 1766, 9958,  5862, 14054, 3814, 12006, 7910, 16102,
    486,  8678, 4582, 12774, 2534, 10726, 6630, 14822, 1510, 9702,  5606, 13798, 3558, 11750, 7654, 15846,
    998,  9190, 5094, 13286, 3046, 11238, 7142, 15334, 2022, 10214, 6118, 14310, 4070, 12262, 8166, 16358,
    22,   8214, 4118, 12310, 2070, 10262, 6166, 14358, 1046, 9238,  5142, 13334, 3094, 11286, 7190, 15382,
    534,  8726, 4630, 12822, 2582, 10774, 6678, 14870, 1558, 9750,  5654, 13846, 3606, 11798, 7702, 15894,
    278,  8470, 4374, 12566, 2326, 10518, 6422, 14614, 1302, 9494,  5398, 13590, 3350, 11542, 7446, 15638,
    790,  8982, 4886, 13078, 2838, 11030, 6934, 15126, 1814, 10006, 5910, 14102, 3862, 12054, 7958, 16150,
    150,  8342, 4246, 12438, 2198, 10390, 6294, 14486, 1174, 9366,  5270, 13462, 3222, 11414, 7318, 15510,
    662,  8854, 4758, 12950, 2710, 10902, 6806, 14998, 1686, 9878,  5782, 13974, 3734, 11926, 7830, 16022,
    406,  8598, 4502, 12694, 2454, 10646, 6550, 14742, 1430, 9622,  5526, 13718, 3478, 11670, 7574, 15766,
    918,  9110, 5014, 13206, 2966, 11158, 7062, 15254, 1942, 10134, 6038, 14230, 3990, 12182, 8086, 16278,
    86,   8278, 4182, 12374, 2134, 10326, 6230, 14422, 1110, 9302,  5206, 13398, 3158, 11350, 7254, 15446,
    598,  8790, 4694, 12886, 2646, 10838, 6742, 14934, 1622, 9814,  5718, 13910, 3670, 11862, 7766, 15958,
    342,  8534, 4438, 12630, 2390, 10582, 6486, 14678, 1366, 9558,  5462, 13654, 3414, 11606, 7510, 15702,
    854,  9046, 4950, 13142, 2902, 11094, 6998, 15190, 1878, 10070, 5974, 14166, 3926, 12118, 8022, 16214,
    214,  8406, 4310, 12502, 2262, 10454, 6358, 14550, 1238, 9430,  5334, 13526, 3286, 11478, 7382, 15574,
    726,  8918, 4822, 13014, 2774, 10966, 6870, 15062, 1750, 9942,  5846, 14038, 3798, 11990, 7894, 16086,
    470,  8662, 4566, 12758, 2518, 10710, 6614, 14806, 1494, 9686,  5590, 13782, 3542, 11734, 7638, 15830,
    982,  9174, 5078, 13270, 3030, 11222, 7126, 15318, 2006, 10198, 6102, 14294, 4054, 12246, 8150, 16342,
    54,   8246, 4150, 12342, 2102, 10294, 6198, 14390, 1078, 9270,  5174, 13366, 3126, 11318, 7222, 15414,
    566,  8758, 4662, 12854, 2614, 10806, 6710, 14902, 1590, 9782,  5686, 13878, 3638, 11830, 7734, 15926,
    310,  8502, 4406, 12598, 2358, 10550, 6454, 14646, 1334, 9526,  5430, 13622, 3382, 11574, 7478, 15670,
    822,  9014, 4918, 13110, 2870, 11062, 6966, 15158, 1846, 10038, 5942, 14134, 3894, 12086, 7990, 16182,
    182,  8374, 4278, 12470, 2230, 10422, 6326, 14518, 1206, 9398,  5302, 13494, 3254, 11446, 7350, 15542,
    694,  8886, 4790, 12982, 2742, 10934, 6838, 15030, 1718, 9910,  5814, 14006, 3766, 11958, 7862, 16054,
    438,  8630, 4534, 12726, 2486, 10678, 6582, 14774, 1462, 9654,  5558, 13750, 3510, 11702, 7606, 15798,
    950,  9142, 5046, 13238, 2998, 11190, 7094, 15286, 1974, 10166, 6070, 14262, 4022, 12214, 8118, 16310,
    118,  8310, 4214, 12406, 2166, 10358, 6262, 14454, 1142, 9334,  5238, 13430, 3190, 11382, 7286, 15478,
    630,  8822, 4726, 12918, 2678, 10870, 6774, 14966, 1654, 9846,  5750, 13942, 3702, 11894, 7798, 15990,
    374,  8566, 4470, 12662, 2422, 10614, 6518, 14710, 1398, 9590,  5494, 13686, 3446, 11638, 7542, 15734,
    886,  9078, 4982, 13174, 2934, 11126, 7030, 15222, 1910, 10102, 6006, 14198, 3958, 12150, 8054, 16246,
    246,  8438, 4342, 12534, 2294, 10486, 6390, 14582, 1270, 9462,  5366, 13558, 3318, 11510, 7414, 15606,
    758,  8950, 4854, 13046, 2806, 10998, 6902, 15094, 1782, 9974,  5878, 14070, 3830, 12022, 7926, 16118,
    502,  8694, 4598, 12790, 2550, 10742, 6646, 14838, 1526, 9718,  5622, 13814, 3574, 11766, 7670, 15862,
    1014, 9206, 5110, 13302, 3062, 11254, 7158, 15350, 2038, 10230, 6134, 14326, 4086, 12278, 8182, 16374,
    14,   8206, 4110, 12302, 2062, 10254, 6158, 14350, 1038, 9230,  5134, 13326, 3086, 11278, 7182, 15374,
    526,  8718, 4622, 12814, 2574, 10766, 6670, 14862, 1550, 9742,  5646, 13838, 3598, 11790, 7694, 15886,
    270,  8462, 4366, 12558, 2318, 10510, 6414, 14606, 1294, 9486,  5390, 13582, 3342, 11534, 7438, 15630,
    782,  8974, 4878, 13070, 2830, 11022, 6926, 15118, 1806, 9998,  5902, 14094, 3854, 12046, 7950, 16142,
    142,  8334, 4238, 12430, 2190, 10382, 6286, 14478, 1166, 9358,  5262, 13454, 3214, 11406, 7310, 15502,
    654,  8846, 4750, 12942, 2702, 10894, 6798, 14990, 1678, 9870,  5774, 13966, 3726, 11918, 7822, 16014,
    398,  8590, 4494, 12686, 2446, 10638, 6542, 14734, 1422, 9614,  5518, 13710, 3470, 11662, 7566, 15758,
    910,  9102, 5006, 13198, 2958, 11150, 7054, 15246, 1934, 10126, 6030, 14222, 3982, 12174, 8078, 16270,
    78,   8270, 4174, 12366, 2126, 10318, 6222, 14414, 1102, 9294,  5198, 13390, 3150, 11342, 7246, 15438,
    590,  8782, 4686, 12878, 2638, 10830, 6734, 14926, 1614, 9806,  5710, 13902, 3662, 11854, 7758, 15950,
    334,  8526, 4430, 12622, 2382, 10574, 6478, 14670, 1358, 9550,  5454, 13646, 3406, 11598, 7502, 15694,
    846,  9038, 4942, 13134, 2894, 11086, 6990, 15182, 1870, 10062, 5966, 14158, 3918, 12110, 8014, 16206,
    206,  8398, 4302, 12494, 2254, 10446, 6350, 14542, 1230, 9422,  5326, 13518, 3278, 11470, 7374, 15566,
    718,  8910, 4814, 13006, 2766, 10958, 6862, 15054, 1742, 9934,  5838, 14030, 3790, 11982, 7886, 16078,
    462,  8654, 4558, 12750, 2510, 10702, 6606, 14798, 1486, 9678,  5582, 13774, 3534, 11726, 7630, 15822,
    974,  9166, 5070, 13262, 3022, 11214, 7118, 15310, 1998, 10190, 6094, 14286, 4046, 12238, 8142, 16334,
    46,   8238, 4142, 12334, 2094, 10286, 6190, 14382, 1070, 9262,  5166, 13358, 3118, 11310, 7214, 15406,
    558,  8750, 4654, 12846, 2606, 10798, 6702, 14894, 1582, 9774,  5678, 13870, 3630, 11822, 7726, 15918,
    302,  8494, 4398, 12590, 2350, 10542, 6446, 14638, 1326, 9518,  5422, 13614, 3374, 11566, 7470, 15662,
    814,  9006, 4910, 13102, 2862, 11054, 6958, 15150, 1838, 10030, 5934, 14126, 3886, 12078, 7982, 16174,
    174,  8366, 4270, 12462, 2222, 10414, 6318, 14510, 1198, 9390,  5294, 13486, 3246, 11438, 7342, 15534,
    686,  8878, 4782, 12974, 2734, 10926, 6830, 15022, 1710, 9902,  5806, 13998, 3758, 11950, 7854, 16046,
    430,  8622, 4526, 12718, 2478, 10670, 6574, 14766, 1454, 9646,  5550, 13742, 3502, 11694, 7598, 15790,
    942,  9134, 5038, 13230, 2990, 11182, 7086, 15278, 1966, 10158, 6062, 14254, 4014, 12206, 8110, 16302,
    110,  8302, 4206, 12398, 2158, 10350, 6254, 14446, 1134, 9326,  5230, 13422, 3182, 11374, 7278, 15470,
    622,  8814, 4718, 12910, 2670, 10862, 6766, 14958, 1646, 9838,  5742, 13934, 3694, 11886, 7790, 15982,
    366,  8558, 4462, 12654, 2414, 10606, 6510, 14702, 1390, 9582,  5486, 13678, 3438, 11630, 7534, 15726,
    878,  9070, 4974, 13166, 2926, 11118, 7022, 15214, 1902, 10094, 5998, 14190, 3950, 12142, 8046, 16238,
    238,  8430, 4334, 12526, 2286, 10478, 6382, 14574, 1262, 9454,  5358, 13550, 3310, 11502, 7406, 15598,
    750,  8942, 4846, 13038, 2798, 10990, 6894, 15086, 1774, 9966,  5870, 14062, 3822, 12014, 7918, 16110,
    494,  8686, 4590, 12782, 2542, 10734, 6638, 14830, 1518, 9710,  5614, 13806, 3566, 11758, 7662, 15854,
    1006, 9198, 5102, 13294, 3054, 11246, 7150, 15342, 2030, 10222, 6126, 14318, 4078, 12270, 8174, 16366,
    30,   8222, 4126, 12318, 2078, 10270, 6174, 14366, 1054, 9246,  5150, 13342, 3102, 11294, 7198, 15390,
    542,  8734, 4638, 12830, 2590, 10782, 6686, 14878, 1566, 9758,  5662, 13854, 3614, 11806, 7710, 15902,
    286,  8478, 4382, 12574, 2334, 10526, 6430, 14622, 1310, 9502,  5406, 13598, 3358, 11550, 7454, 15646,
    798,  8990, 4894, 13086, 2846, 11038, 6942, 15134, 1822, 10014, 5918, 14110, 3870, 12062, 7966, 16158,
    158,  8350, 4254, 12446, 2206, 10398, 6302, 14494, 1182, 9374,  5278, 13470, 3230, 11422, 7326, 15518,
    670,  8862, 4766, 12958, 2718, 10910, 6814, 15006, 1694, 9886,  5790, 13982, 3742, 11934, 7838, 16030,
    414,  8606, 4510, 12702, 2462, 10654, 6558, 14750, 1438, 9630,  5534, 13726, 3486, 11678, 7582, 15774,
    926,  9118, 5022, 13214, 2974, 11166, 7070, 15262, 1950, 10142, 6046, 14238, 3998, 12190, 8094, 16286,
    94,   8286, 4190, 12382, 2142, 10334, 6238, 14430, 1118, 9310,  5214, 13406, 3166, 11358, 7262, 15454,
    606,  8798, 4702, 12894, 2654, 10846, 6750, 14942, 1630, 9822,  5726, 13918, 3678, 11870, 7774, 15966,
    350,  8542, 4446, 12638, 2398, 10590, 6494, 14686, 1374, 9566,  5470, 13662, 3422, 11614, 7518, 15710,
    862,  9054, 4958, 13150, 2910, 11102, 7006, 15198, 1886, 10078, 5982, 14174, 3934, 12126, 8030, 16222,
    222,  8414, 4318, 12510, 2270, 10462, 6366, 14558, 1246, 9438,  5342, 13534, 3294, 11486, 7390, 15582,
    734,  8926, 4830, 13022, 2782, 10974, 6878, 15070, 1758, 9950,  5854, 14046, 3806, 11998, 7902, 16094,
    478,  8670, 4574, 12766, 2526, 10718, 6622, 14814, 1502, 9694,  5598, 13790, 3550, 11742, 7646, 15838,
    990,  9182, 5086, 13278, 3038, 11230, 7134, 15326, 2014, 10206, 6110, 14302, 4062, 12254, 8158, 16350,
    62,   8254, 4158, 12350, 2110, 10302, 6206, 14398, 1086, 9278,  5182, 13374, 3134, 11326, 7230, 15422,
    574,  8766, 4670, 12862, 2622, 10814, 6718, 14910, 1598, 9790,  5694, 13886, 3646, 11838, 7742, 15934,
    318,  8510, 4414, 12606, 2366, 10558, 6462, 14654, 1342, 9534,  5438, 13630, 3390, 11582, 7486, 15678,
    830,  9022, 4926, 13118, 2878, 11070, 6974, 15166, 1854, 10046, 5950, 14142, 3902, 12094, 7998, 16190,
    190,  8382, 4286, 12478, 2238, 10430, 6334, 14526, 1214, 9406,  5310, 13502, 3262, 11454, 7358, 15550,
    702,  8894, 4798, 12990, 2750, 10942, 6846, 15038, 1726, 9918,  5822, 14014, 3774, 11966, 7870, 16062,
    446,  8638, 4542, 12734, 2494, 10686, 6590, 14782, 1470, 9662,  5566, 13758, 3518, 11710, 7614, 15806,
    958,  9150, 5054, 13246, 3006, 11198, 7102, 15294, 1982, 10174, 6078, 14270, 4030, 12222, 8126, 16318,
    126,  8318, 4222, 12414, 2174, 10366, 6270, 14462, 1150, 9342,  5246, 13438, 3198, 11390, 7294, 15486,
    638,  8830, 4734, 12926, 2686, 10878, 6782, 14974, 1662, 9854,  5758, 13950, 3710, 11902, 7806, 15998,
    382,  8574, 4478, 12670, 2430, 10622, 6526, 14718, 1406, 9598,  5502, 13694, 3454, 11646, 7550, 15742,
    894,  9086, 4990, 13182, 2942, 11134, 7038, 15230, 1918, 10110, 6014, 14206, 3966, 12158, 8062, 16254,
    254,  8446, 4350, 12542, 2302, 10494, 6398, 14590, 1278, 9470,  5374, 13566, 3326, 11518, 7422, 15614,
    766,  8958, 4862, 13054, 2814, 11006, 6910, 15102, 1790, 9982,  5886, 14078, 3838, 12030, 7934, 16126,
    510,  8702, 4606, 12798, 2558, 10750, 6654, 14846, 1534, 9726,  5630, 13822, 3582, 11774, 7678, 15870,
    1022, 9214, 5118, 13310, 3070, 11262, 7166, 15358, 2046, 10238, 6142, 14334, 4094, 12286, 8190, 16382,
    1,    8193, 4097, 12289, 2049, 10241, 6145, 14337, 1025, 9217,  5121, 13313, 3073, 11265, 7169, 15361,
    513,  8705, 4609, 12801, 2561, 10753, 6657, 14849, 1537, 9729,  5633, 13825, 3585, 11777, 7681, 15873,
    257,  8449, 4353, 12545, 2305, 10497, 6401, 14593, 1281, 9473,  5377, 13569, 3329, 11521, 7425, 15617,
    769,  8961, 4865, 13057, 2817, 11009, 6913, 15105, 1793, 9985,  5889, 14081, 3841, 12033, 7937, 16129,
    129,  8321, 4225, 12417, 2177, 10369, 6273, 14465, 1153, 9345,  5249, 13441, 3201, 11393, 7297, 15489,
    641,  8833, 4737, 12929, 2689, 10881, 6785, 14977, 1665, 9857,  5761, 13953, 3713, 11905, 7809, 16001,
    385,  8577, 4481, 12673, 2433, 10625, 6529, 14721, 1409, 9601,  5505, 13697, 3457, 11649, 7553, 15745,
    897,  9089, 4993, 13185, 2945, 11137, 7041, 15233, 1921, 10113, 6017, 14209, 3969, 12161, 8065, 16257,
    65,   8257, 4161, 12353, 2113, 10305, 6209, 14401, 1089, 9281,  5185, 13377, 3137, 11329, 7233, 15425,
    577,  8769, 4673, 12865, 2625, 10817, 6721, 14913, 1601, 9793,  5697, 13889, 3649, 11841, 7745, 15937,
    321,  8513, 4417, 12609, 2369, 10561, 6465, 14657, 1345, 9537,  5441, 13633, 3393, 11585, 7489, 15681,
    833,  9025, 4929, 13121, 2881, 11073, 6977, 15169, 1857, 10049, 5953, 14145, 3905, 12097, 8001, 16193,
    193,  8385, 4289, 12481, 2241, 10433, 6337, 14529, 1217, 9409,  5313, 13505, 3265, 11457, 7361, 15553,
    705,  8897, 4801, 12993, 2753, 10945, 6849, 15041, 1729, 9921,  5825, 14017, 3777, 11969, 7873, 16065,
    449,  8641, 4545, 12737, 2497, 10689, 6593, 14785, 1473, 9665,  5569, 13761, 3521, 11713, 7617, 15809,
    961,  9153, 5057, 13249, 3009, 11201, 7105, 15297, 1985, 10177, 6081, 14273, 4033, 12225, 8129, 16321,
    33,   8225, 4129, 12321, 2081, 10273, 6177, 14369, 1057, 9249,  5153, 13345, 3105, 11297, 7201, 15393,
    545,  8737, 4641, 12833, 2593, 10785, 6689, 14881, 1569, 9761,  5665, 13857, 3617, 11809, 7713, 15905,
    289,  8481, 4385, 12577, 2337, 10529, 6433, 14625, 1313, 9505,  5409, 13601, 3361, 11553, 7457, 15649,
    801,  8993, 4897, 13089, 2849, 11041, 6945, 15137, 1825, 10017, 5921, 14113, 3873, 12065, 7969, 16161,
    161,  8353, 4257, 12449, 2209, 10401, 6305, 14497, 1185, 9377,  5281, 13473, 3233, 11425, 7329, 15521,
    673,  8865, 4769, 12961, 2721, 10913, 6817, 15009, 1697, 9889,  5793, 13985, 3745, 11937, 7841, 16033,
    417,  8609, 4513, 12705, 2465, 10657, 6561, 14753, 1441, 9633,  5537, 13729, 3489, 11681, 7585, 15777,
    929,  9121, 5025, 13217, 2977, 11169, 7073, 15265, 1953, 10145, 6049, 14241, 4001, 12193, 8097, 16289,
    97,   8289, 4193, 12385, 2145, 10337, 6241, 14433, 1121, 9313,  5217, 13409, 3169, 11361, 7265, 15457,
    609,  8801, 4705, 12897, 2657, 10849, 6753, 14945, 1633, 9825,  5729, 13921, 3681, 11873, 7777, 15969,
    353,  8545, 4449, 12641, 2401, 10593, 6497, 14689, 1377, 9569,  5473, 13665, 3425, 11617, 7521, 15713,
    865,  9057, 4961, 13153, 2913, 11105, 7009, 15201, 1889, 10081, 5985, 14177, 3937, 12129, 8033, 16225,
    225,  8417, 4321, 12513, 2273, 10465, 6369, 14561, 1249, 9441,  5345, 13537, 3297, 11489, 7393, 15585,
    737,  8929, 4833, 13025, 2785, 10977, 6881, 15073, 1761, 9953,  5857, 14049, 3809, 12001, 7905, 16097,
    481,  8673, 4577, 12769, 2529, 10721, 6625, 14817, 1505, 9697,  5601, 13793, 3553, 11745, 7649, 15841,
    993,  9185, 5089, 13281, 3041, 11233, 7137, 15329, 2017, 10209, 6113, 14305, 4065, 12257, 8161, 16353,
    17,   8209, 4113, 12305, 2065, 10257, 6161, 14353, 1041, 9233,  5137, 13329, 3089, 11281, 7185, 15377,
    529,  8721, 4625, 12817, 2577, 10769, 6673, 14865, 1553, 9745,  5649, 13841, 3601, 11793, 7697, 15889,
    273,  8465, 4369, 12561, 2321, 10513, 6417, 14609, 1297, 9489,  5393, 13585, 3345, 11537, 7441, 15633,
    785,  8977, 4881, 13073, 2833, 11025, 6929, 15121, 1809, 10001, 5905, 14097, 3857, 12049, 7953, 16145,
    145,  8337, 4241, 12433, 2193, 10385, 6289, 14481, 1169, 9361,  5265, 13457, 3217, 11409, 7313, 15505,
    657,  8849, 4753, 12945, 2705, 10897, 6801, 14993, 1681, 9873,  5777, 13969, 3729, 11921, 7825, 16017,
    401,  8593, 4497, 12689, 2449, 10641, 6545, 14737, 1425, 9617,  5521, 13713, 3473, 11665, 7569, 15761,
    913,  9105, 5009, 13201, 2961, 11153, 7057, 15249, 1937, 10129, 6033, 14225, 3985, 12177, 8081, 16273,
    81,   8273, 4177, 12369, 2129, 10321, 6225, 14417, 1105, 9297,  5201, 13393, 3153, 11345, 7249, 15441,
    593,  8785, 4689, 12881, 2641, 10833, 6737, 14929, 1617, 9809,  5713, 13905, 3665, 11857, 7761, 15953,
    337,  8529, 4433, 12625, 2385, 10577, 6481, 14673, 1361, 9553,  5457, 13649, 3409, 11601, 7505, 15697,
    849,  9041, 4945, 13137, 2897, 11089, 6993, 15185, 1873, 10065, 5969, 14161, 3921, 12113, 8017, 16209,
    209,  8401, 4305, 12497, 2257, 10449, 6353, 14545, 1233, 9425,  5329, 13521, 3281, 11473, 7377, 15569,
    721,  8913, 4817, 13009, 2769, 10961, 6865, 15057, 1745, 9937,  5841, 14033, 3793, 11985, 7889, 16081,
    465,  8657, 4561, 12753, 2513, 10705, 6609, 14801, 1489, 9681,  5585, 13777, 3537, 11729, 7633, 15825,
    977,  9169, 5073, 13265, 3025, 11217, 7121, 15313, 2001, 10193, 6097, 14289, 4049, 12241, 8145, 16337,
    49,   8241, 4145, 12337, 2097, 10289, 6193, 14385, 1073, 9265,  5169, 13361, 3121, 11313, 7217, 15409,
    561,  8753, 4657, 12849, 2609, 10801, 6705, 14897, 1585, 9777,  5681, 13873, 3633, 11825, 7729, 15921,
    305,  8497, 4401, 12593, 2353, 10545, 6449, 14641, 1329, 9521,  5425, 13617, 3377, 11569, 7473, 15665,
    817,  9009, 4913, 13105, 2865, 11057, 6961, 15153, 1841, 10033, 5937, 14129, 3889, 12081, 7985, 16177,
    177,  8369, 4273, 12465, 2225, 10417, 6321, 14513, 1201, 9393,  5297, 13489, 3249, 11441, 7345, 15537,
    689,  8881, 4785, 12977, 2737, 10929, 6833, 15025, 1713, 9905,  5809, 14001, 3761, 11953, 7857, 16049,
    433,  8625, 4529, 12721, 2481, 10673, 6577, 14769, 1457, 9649,  5553, 13745, 3505, 11697, 7601, 15793,
    945,  9137, 5041, 13233, 2993, 11185, 7089, 15281, 1969, 10161, 6065, 14257, 4017, 12209, 8113, 16305,
    113,  8305, 4209, 12401, 2161, 10353, 6257, 14449, 1137, 9329,  5233, 13425, 3185, 11377, 7281, 15473,
    625,  8817, 4721, 12913, 2673, 10865, 6769, 14961, 1649, 9841,  5745, 13937, 3697, 11889, 7793, 15985,
    369,  8561, 4465, 12657, 2417, 10609, 6513, 14705, 1393, 9585,  5489, 13681, 3441, 11633, 7537, 15729,
    881,  9073, 4977, 13169, 2929, 11121, 7025, 15217, 1905, 10097, 6001, 14193, 3953, 12145, 8049, 16241,
    241,  8433, 4337, 12529, 2289, 10481, 6385, 14577, 1265, 9457,  5361, 13553, 3313, 11505, 7409, 15601,
    753,  8945, 4849, 13041, 2801, 10993, 6897, 15089, 1777, 9969,  5873, 14065, 3825, 12017, 7921, 16113,
    497,  8689, 4593, 12785, 2545, 10737, 6641, 14833, 1521, 9713,  5617, 13809, 3569, 11761, 7665, 15857,
    1009, 9201, 5105, 13297, 3057, 11249, 7153, 15345, 2033, 10225, 6129, 14321, 4081, 12273, 8177, 16369,
    9,    8201, 4105, 12297, 2057, 10249, 6153, 14345, 1033, 9225,  5129, 13321, 3081, 11273, 7177, 15369,
    521,  8713, 4617, 12809, 2569, 10761, 6665, 14857, 1545, 9737,  5641, 13833, 3593, 11785, 7689, 15881,
    265,  8457, 4361, 12553, 2313, 10505, 6409, 14601, 1289, 9481,  5385, 13577, 3337, 11529, 7433, 15625,
    777,  8969, 4873, 13065, 2825, 11017, 6921, 15113, 1801, 9993,  5897, 14089, 3849, 12041, 7945, 16137,
    137,  8329, 4233, 12425, 2185, 10377, 6281, 14473, 1161, 9353,  5257, 13449, 3209, 11401, 7305, 15497,
    649,  8841, 4745, 12937, 2697, 10889, 6793, 14985, 1673, 9865,  5769, 13961, 3721, 11913, 7817, 16009,
    393,  8585, 4489, 12681, 2441, 10633, 6537, 14729, 1417, 9609,  5513, 13705, 3465, 11657, 7561, 15753,
    905,  9097, 5001, 13193, 2953, 11145, 7049, 15241, 1929, 10121, 6025, 14217, 3977, 12169, 8073, 16265,
    73,   8265, 4169, 12361, 2121, 10313, 6217, 14409, 1097, 9289,  5193, 13385, 3145, 11337, 7241, 15433,
    585,  8777, 4681, 12873, 2633, 10825, 6729, 14921, 1609, 9801,  5705, 13897, 3657, 11849, 7753, 15945,
    329,  8521, 4425, 12617, 2377, 10569, 6473, 14665, 1353, 9545,  5449, 13641, 3401, 11593, 7497, 15689,
    841,  9033, 4937, 13129, 2889, 11081, 6985, 15177, 1865, 10057, 5961, 14153, 3913, 12105, 8009, 16201,
    201,  8393, 4297, 12489, 2249, 10441, 6345, 14537, 1225, 9417,  5321, 13513, 3273, 11465, 7369, 15561,
    713,  8905, 4809, 13001, 2761, 10953, 6857, 15049, 1737, 9929,  5833, 14025, 3785, 11977, 7881, 16073,
    457,  8649, 4553, 12745, 2505, 10697, 6601, 14793, 1481, 9673,  5577, 13769, 3529, 11721, 7625, 15817,
    969,  9161, 5065, 13257, 3017, 11209, 7113, 15305, 1993, 10185, 6089, 14281, 4041, 12233, 8137, 16329,
    41,   8233, 4137, 12329, 2089, 10281, 6185, 14377, 1065, 9257,  5161, 13353, 3113, 11305, 7209, 15401,
    553,  8745, 4649, 12841, 2601, 10793, 6697, 14889, 1577, 9769,  5673, 13865, 3625, 11817, 7721, 15913,
    297,  8489, 4393, 12585, 2345, 10537, 6441, 14633, 1321, 9513,  5417, 13609, 3369, 11561, 7465, 15657,
    809,  9001, 4905, 13097, 2857, 11049, 6953, 15145, 1833, 10025, 5929, 14121, 3881, 12073, 7977, 16169,
    169,  8361, 4265, 12457, 2217, 10409, 6313, 14505, 1193, 9385,  5289, 13481, 3241, 11433, 7337, 15529,
    681,  8873, 4777, 12969, 2729, 10921, 6825, 15017, 1705, 9897,  5801, 13993, 3753, 11945, 7849, 16041,
    425,  8617, 4521, 12713, 2473, 10665, 6569, 14761, 1449, 9641,  5545, 13737, 3497, 11689, 7593, 15785,
    937,  9129, 5033, 13225, 2985, 11177, 7081, 15273, 1961, 10153, 6057, 14249, 4009, 12201, 8105, 16297,
    105,  8297, 4201, 12393, 2153, 10345, 6249, 14441, 1129, 9321,  5225, 13417, 3177, 11369, 7273, 15465,
    617,  8809, 4713, 12905, 2665, 10857, 6761, 14953, 1641, 9833,  5737, 13929, 3689, 11881, 7785, 15977,
    361,  8553, 4457, 12649, 2409, 10601, 6505, 14697, 1385, 9577,  5481, 13673, 3433, 11625, 7529, 15721,
    873,  9065, 4969, 13161, 2921, 11113, 7017, 15209, 1897, 10089, 5993, 14185, 3945, 12137, 8041, 16233,
    233,  8425, 4329, 12521, 2281, 10473, 6377, 14569, 1257, 9449,  5353, 13545, 3305, 11497, 7401, 15593,
    745,  8937, 4841, 13033, 2793, 10985, 6889, 15081, 1769, 9961,  5865, 14057, 3817, 12009, 7913, 16105,
    489,  8681, 4585, 12777, 2537, 10729, 6633, 14825, 1513, 9705,  5609, 13801, 3561, 11753, 7657, 15849,
    1001, 9193, 5097, 13289, 3049, 11241, 7145, 15337, 2025, 10217, 6121, 14313, 4073, 12265, 8169, 16361,
    25,   8217, 4121, 12313, 2073, 10265, 6169, 14361, 1049, 9241,  5145, 13337, 3097, 11289, 7193, 15385,
    537,  8729, 4633, 12825, 2585, 10777, 6681, 14873, 1561, 9753,  5657, 13849, 3609, 11801, 7705, 15897,
    281,  8473, 4377, 12569, 2329, 10521, 6425, 14617, 1305, 9497,  5401, 13593, 3353, 11545, 7449, 15641,
    793,  8985, 4889, 13081, 2841, 11033, 6937, 15129, 1817, 10009, 5913, 14105, 3865, 12057, 7961, 16153,
    153,  8345, 4249, 12441, 2201, 10393, 6297, 14489, 1177, 9369,  5273, 13465, 3225, 11417, 7321, 15513,
    665,  8857, 4761, 12953, 2713, 10905, 6809, 15001, 1689, 9881,  5785, 13977, 3737, 11929, 7833, 16025,
    409,  8601, 4505, 12697, 2457, 10649, 6553, 14745, 1433, 9625,  5529, 13721, 3481, 11673, 7577, 15769,
    921,  9113, 5017, 13209, 2969, 11161, 7065, 15257, 1945, 10137, 6041, 14233, 3993, 12185, 8089, 16281,
    89,   8281, 4185, 12377, 2137, 10329, 6233, 14425, 1113, 9305,  5209, 13401, 3161, 11353, 7257, 15449,
    601,  8793, 4697, 12889, 2649, 10841, 6745, 14937, 1625, 9817,  5721, 13913, 3673, 11865, 7769, 15961,
    345,  8537, 4441, 12633, 2393, 10585, 6489, 14681, 1369, 9561,  5465, 13657, 3417, 11609, 7513, 15705,
    857,  9049, 4953, 13145, 2905, 11097, 7001, 15193, 1881, 10073, 5977, 14169, 3929, 12121, 8025, 16217,
    217,  8409, 4313, 12505, 2265, 10457, 6361, 14553, 1241, 9433,  5337, 13529, 3289, 11481, 7385, 15577,
    729,  8921, 4825, 13017, 2777, 10969, 6873, 15065, 1753, 9945,  5849, 14041, 3801, 11993, 7897, 16089,
    473,  8665, 4569, 12761, 2521, 10713, 6617, 14809, 1497, 9689,  5593, 13785, 3545, 11737, 7641, 15833,
    985,  9177, 5081, 13273, 3033, 11225, 7129, 15321, 2009, 10201, 6105, 14297, 4057, 12249, 8153, 16345,
    57,   8249, 4153, 12345, 2105, 10297, 6201, 14393, 1081, 9273,  5177, 13369, 3129, 11321, 7225, 15417,
    569,  8761, 4665, 12857, 2617, 10809, 6713, 14905, 1593, 9785,  5689, 13881, 3641, 11833, 7737, 15929,
    313,  8505, 4409, 12601, 2361, 10553, 6457, 14649, 1337, 9529,  5433, 13625, 3385, 11577, 7481, 15673,
    825,  9017, 4921, 13113, 2873, 11065, 6969, 15161, 1849, 10041, 5945, 14137, 3897, 12089, 7993, 16185,
    185,  8377, 4281, 12473, 2233, 10425, 6329, 14521, 1209, 9401,  5305, 13497, 3257, 11449, 7353, 15545,
    697,  8889, 4793, 12985, 2745, 10937, 6841, 15033, 1721, 9913,  5817, 14009, 3769, 11961, 7865, 16057,
    441,  8633, 4537, 12729, 2489, 10681, 6585, 14777, 1465, 9657,  5561, 13753, 3513, 11705, 7609, 15801,
    953,  9145, 5049, 13241, 3001, 11193, 7097, 15289, 1977, 10169, 6073, 14265, 4025, 12217, 8121, 16313,
    121,  8313, 4217, 12409, 2169, 10361, 6265, 14457, 1145, 9337,  5241, 13433, 3193, 11385, 7289, 15481,
    633,  8825, 4729, 12921, 2681, 10873, 6777, 14969, 1657, 9849,  5753, 13945, 3705, 11897, 7801, 15993,
    377,  8569, 4473, 12665, 2425, 10617, 6521, 14713, 1401, 9593,  5497, 13689, 3449, 11641, 7545, 15737,
    889,  9081, 4985, 13177, 2937, 11129, 7033, 15225, 1913, 10105, 6009, 14201, 3961, 12153, 8057, 16249,
    249,  8441, 4345, 12537, 2297, 10489, 6393, 14585, 1273, 9465,  5369, 13561, 3321, 11513, 7417, 15609,
    761,  8953, 4857, 13049, 2809, 11001, 6905, 15097, 1785, 9977,  5881, 14073, 3833, 12025, 7929, 16121,
    505,  8697, 4601, 12793, 2553, 10745, 6649, 14841, 1529, 9721,  5625, 13817, 3577, 11769, 7673, 15865,
    1017, 9209, 5113, 13305, 3065, 11257, 7161, 15353, 2041, 10233, 6137, 14329, 4089, 12281, 8185, 16377,
    5,    8197, 4101, 12293, 2053, 10245, 6149, 14341, 1029, 9221,  5125, 13317, 3077, 11269, 7173, 15365,
    517,  8709, 4613, 12805, 2565, 10757, 6661, 14853, 1541, 9733,  5637, 13829, 3589, 11781, 7685, 15877,
    261,  8453, 4357, 12549, 2309, 10501, 6405, 14597, 1285, 9477,  5381, 13573, 3333, 11525, 7429, 15621,
    773,  8965, 4869, 13061, 2821, 11013, 6917, 15109, 1797, 9989,  5893, 14085, 3845, 12037, 7941, 16133,
    133,  8325, 4229, 12421, 2181, 10373, 6277, 14469, 1157, 9349,  5253, 13445, 3205, 11397, 7301, 15493,
    645,  8837, 4741, 12933, 2693, 10885, 6789, 14981, 1669, 9861,  5765, 13957, 3717, 11909, 7813, 16005,
    389,  8581, 4485, 12677, 2437, 10629, 6533, 14725, 1413, 9605,  5509, 13701, 3461, 11653, 7557, 15749,
    901,  9093, 4997, 13189, 2949, 11141, 7045, 15237, 1925, 10117, 6021, 14213, 3973, 12165, 8069, 16261,
    69,   8261, 4165, 12357, 2117, 10309, 6213, 14405, 1093, 9285,  5189, 13381, 3141, 11333, 7237, 15429,
    581,  8773, 4677, 12869, 2629, 10821, 6725, 14917, 1605, 9797,  5701, 13893, 3653, 11845, 7749, 15941,
    325,  8517, 4421, 12613, 2373, 10565, 6469, 14661, 1349, 9541,  5445, 13637, 3397, 11589, 7493, 15685,
    837,  9029, 4933, 13125, 2885, 11077, 6981, 15173, 1861, 10053, 5957, 14149, 3909, 12101, 8005, 16197,
    197,  8389, 4293, 12485, 2245, 10437, 6341, 14533, 1221, 9413,  5317, 13509, 3269, 11461, 7365, 15557,
    709,  8901, 4805, 12997, 2757, 10949, 6853, 15045, 1733, 9925,  5829, 14021, 3781, 11973, 7877, 16069,
    453,  8645, 4549, 12741, 2501, 10693, 6597, 14789, 1477, 9669,  5573, 13765, 3525, 11717, 7621, 15813,
    965,  9157, 5061, 13253, 3013, 11205, 7109, 15301, 1989, 10181, 6085, 14277, 4037, 12229, 8133, 16325,
    37,   8229, 4133, 12325, 2085, 10277, 6181, 14373, 1061, 9253,  5157, 13349, 3109, 11301, 7205, 15397,
    549,  8741, 4645, 12837, 2597, 10789, 6693, 14885, 1573, 9765,  5669, 13861, 3621, 11813, 7717, 15909,
    293,  8485, 4389, 12581, 2341, 10533, 6437, 14629, 1317, 9509,  5413, 13605, 3365, 11557, 7461, 15653,
    805,  8997, 4901, 13093, 2853, 11045, 6949, 15141, 1829, 10021, 5925, 14117, 3877, 12069, 7973, 16165,
    165,  8357, 4261, 12453, 2213, 10405, 6309, 14501, 1189, 9381,  5285, 13477, 3237, 11429, 7333, 15525,
    677,  8869, 4773, 12965, 2725, 10917, 6821, 15013, 1701, 9893,  5797, 13989, 3749, 11941, 7845, 16037,
    421,  8613, 4517, 12709, 2469, 10661, 6565, 14757, 1445, 9637,  5541, 13733, 3493, 11685, 7589, 15781,
    933,  9125, 5029, 13221, 2981, 11173, 7077, 15269, 1957, 10149, 6053, 14245, 4005, 12197, 8101, 16293,
    101,  8293, 4197, 12389, 2149, 10341, 6245, 14437, 1125, 9317,  5221, 13413, 3173, 11365, 7269, 15461,
    613,  8805, 4709, 12901, 2661, 10853, 6757, 14949, 1637, 9829,  5733, 13925, 3685, 11877, 7781, 15973,
    357,  8549, 4453, 12645, 2405, 10597, 6501, 14693, 1381, 9573,  5477, 13669, 3429, 11621, 7525, 15717,
    869,  9061, 4965, 13157, 2917, 11109, 7013, 15205, 1893, 10085, 5989, 14181, 3941, 12133, 8037, 16229,
    229,  8421, 4325, 12517, 2277, 10469, 6373, 14565, 1253, 9445,  5349, 13541, 3301, 11493, 7397, 15589,
    741,  8933, 4837, 13029, 2789, 10981, 6885, 15077, 1765, 9957,  5861, 14053, 3813, 12005, 7909, 16101,
    485,  8677, 4581, 12773, 2533, 10725, 6629, 14821, 1509, 9701,  5605, 13797, 3557, 11749, 7653, 15845,
    997,  9189, 5093, 13285, 3045, 11237, 7141, 15333, 2021, 10213, 6117, 14309, 4069, 12261, 8165, 16357,
    21,   8213, 4117, 12309, 2069, 10261, 6165, 14357, 1045, 9237,  5141, 13333, 3093, 11285, 7189, 15381,
    533,  8725, 4629, 12821, 2581, 10773, 6677, 14869, 1557, 9749,  5653, 13845, 3605, 11797, 7701, 15893,
    277,  8469, 4373, 12565, 2325, 10517, 6421, 14613, 1301, 9493,  5397, 13589, 3349, 11541, 7445, 15637,
    789,  8981, 4885, 13077, 2837, 11029, 6933, 15125, 1813, 10005, 5909, 14101, 3861, 12053, 7957, 16149,
    149,  8341, 4245, 12437, 2197, 10389, 6293, 14485, 1173, 9365,  5269, 13461, 3221, 11413, 7317, 15509,
    661,  8853, 4757, 12949, 2709, 10901, 6805, 14997, 1685, 9877,  5781, 13973, 3733, 11925, 7829, 16021,
    405,  8597, 4501, 12693, 2453, 10645, 6549, 14741, 1429, 9621,  5525, 13717, 3477, 11669, 7573, 15765,
    917,  9109, 5013, 13205, 2965, 11157, 7061, 15253, 1941, 10133, 6037, 14229, 3989, 12181, 8085, 16277,
    85,   8277, 4181, 12373, 2133, 10325, 6229, 14421, 1109, 9301,  5205, 13397, 3157, 11349, 7253, 15445,
    597,  8789, 4693, 12885, 2645, 10837, 6741, 14933, 1621, 9813,  5717, 13909, 3669, 11861, 7765, 15957,
    341,  8533, 4437, 12629, 2389, 10581, 6485, 14677, 1365, 9557,  5461, 13653, 3413, 11605, 7509, 15701,
    853,  9045, 4949, 13141, 2901, 11093, 6997, 15189, 1877, 10069, 5973, 14165, 3925, 12117, 8021, 16213,
    213,  8405, 4309, 12501, 2261, 10453, 6357, 14549, 1237, 9429,  5333, 13525, 3285, 11477, 7381, 15573,
    725,  8917, 4821, 13013, 2773, 10965, 6869, 15061, 1749, 9941,  5845, 14037, 3797, 11989, 7893, 16085,
    469,  8661, 4565, 12757, 2517, 10709, 6613, 14805, 1493, 9685,  5589, 13781, 3541, 11733, 7637, 15829,
    981,  9173, 5077, 13269, 3029, 11221, 7125, 15317, 2005, 10197, 6101, 14293, 4053, 12245, 8149, 16341,
    53,   8245, 4149, 12341, 2101, 10293, 6197, 14389, 1077, 9269,  5173, 13365, 3125, 11317, 7221, 15413,
    565,  8757, 4661, 12853, 2613, 10805, 6709, 14901, 1589, 9781,  5685, 13877, 3637, 11829, 7733, 15925,
    309,  8501, 4405, 12597, 2357, 10549, 6453, 14645, 1333, 9525,  5429, 13621, 3381, 11573, 7477, 15669,
    821,  9013, 4917, 13109, 2869, 11061, 6965, 15157, 1845, 10037, 5941, 14133, 3893, 12085, 7989, 16181,
    181,  8373, 4277, 12469, 2229, 10421, 6325, 14517, 1205, 9397,  5301, 13493, 3253, 11445, 7349, 15541,
    693,  8885, 4789, 12981, 2741, 10933, 6837, 15029, 1717, 9909,  5813, 14005, 3765, 11957, 7861, 16053,
    437,  8629, 4533, 12725, 2485, 10677, 6581, 14773, 1461, 9653,  5557, 13749, 3509, 11701, 7605, 15797,
    949,  9141, 5045, 13237, 2997, 11189, 7093, 15285, 1973, 10165, 6069, 14261, 4021, 12213, 8117, 16309,
    117,  8309, 4213, 12405, 2165, 10357, 6261, 14453, 1141, 9333,  5237, 13429, 3189, 11381, 7285, 15477,
    629,  8821, 4725, 12917, 2677, 10869, 6773, 14965, 1653, 9845,  5749, 13941, 3701, 11893, 7797, 15989,
    373,  8565, 4469, 12661, 2421, 10613, 6517, 14709, 1397, 9589,  5493, 13685, 3445, 11637, 7541, 15733,
    885,  9077, 4981, 13173, 2933, 11125, 7029, 15221, 1909, 10101, 6005, 14197, 3957, 12149, 8053, 16245,
    245,  8437, 4341, 12533, 2293, 10485, 6389, 14581, 1269, 9461,  5365, 13557, 3317, 11509, 7413, 15605,
    757,  8949, 4853, 13045, 2805, 10997, 6901, 15093, 1781, 9973,  5877, 14069, 3829, 12021, 7925, 16117,
    501,  8693, 4597, 12789, 2549, 10741, 6645, 14837, 1525, 9717,  5621, 13813, 3573, 11765, 7669, 15861,
    1013, 9205, 5109, 13301, 3061, 11253, 7157, 15349, 2037, 10229, 6133, 14325, 4085, 12277, 8181, 16373,
    13,   8205, 4109, 12301, 2061, 10253, 6157, 14349, 1037, 9229,  5133, 13325, 3085, 11277, 7181, 15373,
    525,  8717, 4621, 12813, 2573, 10765, 6669, 14861, 1549, 9741,  5645, 13837, 3597, 11789, 7693, 15885,
    269,  8461, 4365, 12557, 2317, 10509, 6413, 14605, 1293, 9485,  5389, 13581, 3341, 11533, 7437, 15629,
    781,  8973, 4877, 13069, 2829, 11021, 6925, 15117, 1805, 9997,  5901, 14093, 3853, 12045, 7949, 16141,
    141,  8333, 4237, 12429, 2189, 10381, 6285, 14477, 1165, 9357,  5261, 13453, 3213, 11405, 7309, 15501,
    653,  8845, 4749, 12941, 2701, 10893, 6797, 14989, 1677, 9869,  5773, 13965, 3725, 11917, 7821, 16013,
    397,  8589, 4493, 12685, 2445, 10637, 6541, 14733, 1421, 9613,  5517, 13709, 3469, 11661, 7565, 15757,
    909,  9101, 5005, 13197, 2957, 11149, 7053, 15245, 1933, 10125, 6029, 14221, 3981, 12173, 8077, 16269,
    77,   8269, 4173, 12365, 2125, 10317, 6221, 14413, 1101, 9293,  5197, 13389, 3149, 11341, 7245, 15437,
    589,  8781, 4685, 12877, 2637, 10829, 6733, 14925, 1613, 9805,  5709, 13901, 3661, 11853, 7757, 15949,
    333,  8525, 4429, 12621, 2381, 10573, 6477, 14669, 1357, 9549,  5453, 13645, 3405, 11597, 7501, 15693,
    845,  9037, 4941, 13133, 2893, 11085, 6989, 15181, 1869, 10061, 5965, 14157, 3917, 12109, 8013, 16205,
    205,  8397, 4301, 12493, 2253, 10445, 6349, 14541, 1229, 9421,  5325, 13517, 3277, 11469, 7373, 15565,
    717,  8909, 4813, 13005, 2765, 10957, 6861, 15053, 1741, 9933,  5837, 14029, 3789, 11981, 7885, 16077,
    461,  8653, 4557, 12749, 2509, 10701, 6605, 14797, 1485, 9677,  5581, 13773, 3533, 11725, 7629, 15821,
    973,  9165, 5069, 13261, 3021, 11213, 7117, 15309, 1997, 10189, 6093, 14285, 4045, 12237, 8141, 16333,
    45,   8237, 4141, 12333, 2093, 10285, 6189, 14381, 1069, 9261,  5165, 13357, 3117, 11309, 7213, 15405,
    557,  8749, 4653, 12845, 2605, 10797, 6701, 14893, 1581, 9773,  5677, 13869, 3629, 11821, 7725, 15917,
    301,  8493, 4397, 12589, 2349, 10541, 6445, 14637, 1325, 9517,  5421, 13613, 3373, 11565, 7469, 15661,
    813,  9005, 4909, 13101, 2861, 11053, 6957, 15149, 1837, 10029, 5933, 14125, 3885, 12077, 7981, 16173,
    173,  8365, 4269, 12461, 2221, 10413, 6317, 14509, 1197, 9389,  5293, 13485, 3245, 11437, 7341, 15533,
    685,  8877, 4781, 12973, 2733, 10925, 6829, 15021, 1709, 9901,  5805, 13997, 3757, 11949, 7853, 16045,
    429,  8621, 4525, 12717, 2477, 10669, 6573, 14765, 1453, 9645,  5549, 13741, 3501, 11693, 7597, 15789,
    941,  9133, 5037, 13229, 2989, 11181, 7085, 15277, 1965, 10157, 6061, 14253, 4013, 12205, 8109, 16301,
    109,  8301, 4205, 12397, 2157, 10349, 6253, 14445, 1133, 9325,  5229, 13421, 3181, 11373, 7277, 15469,
    621,  8813, 4717, 12909, 2669, 10861, 6765, 14957, 1645, 9837,  5741, 13933, 3693, 11885, 7789, 15981,
    365,  8557, 4461, 12653, 2413, 10605, 6509, 14701, 1389, 9581,  5485, 13677, 3437, 11629, 7533, 15725,
    877,  9069, 4973, 13165, 2925, 11117, 7021, 15213, 1901, 10093, 5997, 14189, 3949, 12141, 8045, 16237,
    237,  8429, 4333, 12525, 2285, 10477, 6381, 14573, 1261, 9453,  5357, 13549, 3309, 11501, 7405, 15597,
    749,  8941, 4845, 13037, 2797, 10989, 6893, 15085, 1773, 9965,  5869, 14061, 3821, 12013, 7917, 16109,
    493,  8685, 4589, 12781, 2541, 10733, 6637, 14829, 1517, 9709,  5613, 13805, 3565, 11757, 7661, 15853,
    1005, 9197, 5101, 13293, 3053, 11245, 7149, 15341, 2029, 10221, 6125, 14317, 4077, 12269, 8173, 16365,
    29,   8221, 4125, 12317, 2077, 10269, 6173, 14365, 1053, 9245,  5149, 13341, 3101, 11293, 7197, 15389,
    541,  8733, 4637, 12829, 2589, 10781, 6685, 14877, 1565, 9757,  5661, 13853, 3613, 11805, 7709, 15901,
    285,  8477, 4381, 12573, 2333, 10525, 6429, 14621, 1309, 9501,  5405, 13597, 3357, 11549, 7453, 15645,
    797,  8989, 4893, 13085, 2845, 11037, 6941, 15133, 1821, 10013, 5917, 14109, 3869, 12061, 7965, 16157,
    157,  8349, 4253, 12445, 2205, 10397, 6301, 14493, 1181, 9373,  5277, 13469, 3229, 11421, 7325, 15517,
    669,  8861, 4765, 12957, 2717, 10909, 6813, 15005, 1693, 9885,  5789, 13981, 3741, 11933, 7837, 16029,
    413,  8605, 4509, 12701, 2461, 10653, 6557, 14749, 1437, 9629,  5533, 13725, 3485, 11677, 7581, 15773,
    925,  9117, 5021, 13213, 2973, 11165, 7069, 15261, 1949, 10141, 6045, 14237, 3997, 12189, 8093, 16285,
    93,   8285, 4189, 12381, 2141, 10333, 6237, 14429, 1117, 9309,  5213, 13405, 3165, 11357, 7261, 15453,
    605,  8797, 4701, 12893, 2653, 10845, 6749, 14941, 1629, 9821,  5725, 13917, 3677, 11869, 7773, 15965,
    349,  8541, 4445, 12637, 2397, 10589, 6493, 14685, 1373, 9565,  5469, 13661, 3421, 11613, 7517, 15709,
    861,  9053, 4957, 13149, 2909, 11101, 7005, 15197, 1885, 10077, 5981, 14173, 3933, 12125, 8029, 16221,
    221,  8413, 4317, 12509, 2269, 10461, 6365, 14557, 1245, 9437,  5341, 13533, 3293, 11485, 7389, 15581,
    733,  8925, 4829, 13021, 2781, 10973, 6877, 15069, 1757, 9949,  5853, 14045, 3805, 11997, 7901, 16093,
    477,  8669, 4573, 12765, 2525, 10717, 6621, 14813, 1501, 9693,  5597, 13789, 3549, 11741, 7645, 15837,
    989,  9181, 5085, 13277, 3037, 11229, 7133, 15325, 2013, 10205, 6109, 14301, 4061, 12253, 8157, 16349,
    61,   8253, 4157, 12349, 2109, 10301, 6205, 14397, 1085, 9277,  5181, 13373, 3133, 11325, 7229, 15421,
    573,  8765, 4669, 12861, 2621, 10813, 6717, 14909, 1597, 9789,  5693, 13885, 3645, 11837, 7741, 15933,
    317,  8509, 4413, 12605, 2365, 10557, 6461, 14653, 1341, 9533,  5437, 13629, 3389, 11581, 7485, 15677,
    829,  9021, 4925, 13117, 2877, 11069, 6973, 15165, 1853, 10045, 5949, 14141, 3901, 12093, 7997, 16189,
    189,  8381, 4285, 12477, 2237, 10429, 6333, 14525, 1213, 9405,  5309, 13501, 3261, 11453, 7357, 15549,
    701,  8893, 4797, 12989, 2749, 10941, 6845, 15037, 1725, 9917,  5821, 14013, 3773, 11965, 7869, 16061,
    445,  8637, 4541, 12733, 2493, 10685, 6589, 14781, 1469, 9661,  5565, 13757, 3517, 11709, 7613, 15805,
    957,  9149, 5053, 13245, 3005, 11197, 7101, 15293, 1981, 10173, 6077, 14269, 4029, 12221, 8125, 16317,
    125,  8317, 4221, 12413, 2173, 10365, 6269, 14461, 1149, 9341,  5245, 13437, 3197, 11389, 7293, 15485,
    637,  8829, 4733, 12925, 2685, 10877, 6781, 14973, 1661, 9853,  5757, 13949, 3709, 11901, 7805, 15997,
    381,  8573, 4477, 12669, 2429, 10621, 6525, 14717, 1405, 9597,  5501, 13693, 3453, 11645, 7549, 15741,
    893,  9085, 4989, 13181, 2941, 11133, 7037, 15229, 1917, 10109, 6013, 14205, 3965, 12157, 8061, 16253,
    253,  8445, 4349, 12541, 2301, 10493, 6397, 14589, 1277, 9469,  5373, 13565, 3325, 11517, 7421, 15613,
    765,  8957, 4861, 13053, 2813, 11005, 6909, 15101, 1789, 9981,  5885, 14077, 3837, 12029, 7933, 16125,
    509,  8701, 4605, 12797, 2557, 10749, 6653, 14845, 1533, 9725,  5629, 13821, 3581, 11773, 7677, 15869,
    1021, 9213, 5117, 13309, 3069, 11261, 7165, 15357, 2045, 10237, 6141, 14333, 4093, 12285, 8189, 16381,
    3,    8195, 4099, 12291, 2051, 10243, 6147, 14339, 1027, 9219,  5123, 13315, 3075, 11267, 7171, 15363,
    515,  8707, 4611, 12803, 2563, 10755, 6659, 14851, 1539, 9731,  5635, 13827, 3587, 11779, 7683, 15875,
    259,  8451, 4355, 12547, 2307, 10499, 6403, 14595, 1283, 9475,  5379, 13571, 3331, 11523, 7427, 15619,
    771,  8963, 4867, 13059, 2819, 11011, 6915, 15107, 1795, 9987,  5891, 14083, 3843, 12035, 7939, 16131,
    131,  8323, 4227, 12419, 2179, 10371, 6275, 14467, 1155, 9347,  5251, 13443, 3203, 11395, 7299, 15491,
    643,  8835, 4739, 12931, 2691, 10883, 6787, 14979, 1667, 9859,  5763, 13955, 3715, 11907, 7811, 16003,
    387,  8579, 4483, 12675, 2435, 10627, 6531, 14723, 1411, 9603,  5507, 13699, 3459, 11651, 7555, 15747,
    899,  9091, 4995, 13187, 2947, 11139, 7043, 15235, 1923, 10115, 6019, 14211, 3971, 12163, 8067, 16259,
    67,   8259, 4163, 12355, 2115, 10307, 6211, 14403, 1091, 9283,  5187, 13379, 3139, 11331, 7235, 15427,
    579,  8771, 4675, 12867, 2627, 10819, 6723, 14915, 1603, 9795,  5699, 13891, 3651, 11843, 7747, 15939,
    323,  8515, 4419, 12611, 2371, 10563, 6467, 14659, 1347, 9539,  5443, 13635, 3395, 11587, 7491, 15683,
    835,  9027, 4931, 13123, 2883, 11075, 6979, 15171, 1859, 10051, 5955, 14147, 3907, 12099, 8003, 16195,
    195,  8387, 4291, 12483, 2243, 10435, 6339, 14531, 1219, 9411,  5315, 13507, 3267, 11459, 7363, 15555,
    707,  8899, 4803, 12995, 2755, 10947, 6851, 15043, 1731, 9923,  5827, 14019, 3779, 11971, 7875, 16067,
    451,  8643, 4547, 12739, 2499, 10691, 6595, 14787, 1475, 9667,  5571, 13763, 3523, 11715, 7619, 15811,
    963,  9155, 5059, 13251, 3011, 11203, 7107, 15299, 1987, 10179, 6083, 14275, 4035, 12227, 8131, 16323,
    35,   8227, 4131, 12323, 2083, 10275, 6179, 14371, 1059, 9251,  5155, 13347, 3107, 11299, 7203, 15395,
    547,  8739, 4643, 12835, 2595, 10787, 6691, 14883, 1571, 9763,  5667, 13859, 3619, 11811, 7715, 15907,
    291,  8483, 4387, 12579, 2339, 10531, 6435, 14627, 1315, 9507,  5411, 13603, 3363, 11555, 7459, 15651,
    803,  8995, 4899, 13091, 2851, 11043, 6947, 15139, 1827, 10019, 5923, 14115, 3875, 12067, 7971, 16163,
    163,  8355, 4259, 12451, 2211, 10403, 6307, 14499, 1187, 9379,  5283, 13475, 3235, 11427, 7331, 15523,
    675,  8867, 4771, 12963, 2723, 10915, 6819, 15011, 1699, 9891,  5795, 13987, 3747, 11939, 7843, 16035,
    419,  8611, 4515, 12707, 2467, 10659, 6563, 14755, 1443, 9635,  5539, 13731, 3491, 11683, 7587, 15779,
    931,  9123, 5027, 13219, 2979, 11171, 7075, 15267, 1955, 10147, 6051, 14243, 4003, 12195, 8099, 16291,
    99,   8291, 4195, 12387, 2147, 10339, 6243, 14435, 1123, 9315,  5219, 13411, 3171, 11363, 7267, 15459,
    611,  8803, 4707, 12899, 2659, 10851, 6755, 14947, 1635, 9827,  5731, 13923, 3683, 11875, 7779, 15971,
    355,  8547, 4451, 12643, 2403, 10595, 6499, 14691, 1379, 9571,  5475, 13667, 3427, 11619, 7523, 15715,
    867,  9059, 4963, 13155, 2915, 11107, 7011, 15203, 1891, 10083, 5987, 14179, 3939, 12131, 8035, 16227,
    227,  8419, 4323, 12515, 2275, 10467, 6371, 14563, 1251, 9443,  5347, 13539, 3299, 11491, 7395, 15587,
    739,  8931, 4835, 13027, 2787, 10979, 6883, 15075, 1763, 9955,  5859, 14051, 3811, 12003, 7907, 16099,
    483,  8675, 4579, 12771, 2531, 10723, 6627, 14819, 1507, 9699,  5603, 13795, 3555, 11747, 7651, 15843,
    995,  9187, 5091, 13283, 3043, 11235, 7139, 15331, 2019, 10211, 6115, 14307, 4067, 12259, 8163, 16355,
    19,   8211, 4115, 12307, 2067, 10259, 6163, 14355, 1043, 9235,  5139, 13331, 3091, 11283, 7187, 15379,
    531,  8723, 4627, 12819, 2579, 10771, 6675, 14867, 1555, 9747,  5651, 13843, 3603, 11795, 7699, 15891,
    275,  8467, 4371, 12563, 2323, 10515, 6419, 14611, 1299, 9491,  5395, 13587, 3347, 11539, 7443, 15635,
    787,  8979, 4883, 13075, 2835, 11027, 6931, 15123, 1811, 10003, 5907, 14099, 3859, 12051, 7955, 16147,
    147,  8339, 4243, 12435, 2195, 10387, 6291, 14483, 1171, 9363,  5267, 13459, 3219, 11411, 7315, 15507,
    659,  8851, 4755, 12947, 2707, 10899, 6803, 14995, 1683, 9875,  5779, 13971, 3731, 11923, 7827, 16019,
    403,  8595, 4499, 12691, 2451, 10643, 6547, 14739, 1427, 9619,  5523, 13715, 3475, 11667, 7571, 15763,
    915,  9107, 5011, 13203, 2963, 11155, 7059, 15251, 1939, 10131, 6035, 14227, 3987, 12179, 8083, 16275,
    83,   8275, 4179, 12371, 2131, 10323, 6227, 14419, 1107, 9299,  5203, 13395, 3155, 11347, 7251, 15443,
    595,  8787, 4691, 12883, 2643, 10835, 6739, 14931, 1619, 9811,  5715, 13907, 3667, 11859, 7763, 15955,
    339,  8531, 4435, 12627, 2387, 10579, 6483, 14675, 1363, 9555,  5459, 13651, 3411, 11603, 7507, 15699,
    851,  9043, 4947, 13139, 2899, 11091, 6995, 15187, 1875, 10067, 5971, 14163, 3923, 12115, 8019, 16211,
    211,  8403, 4307, 12499, 2259, 10451, 6355, 14547, 1235, 9427,  5331, 13523, 3283, 11475, 7379, 15571,
    723,  8915, 4819, 13011, 2771, 10963, 6867, 15059, 1747, 9939,  5843, 14035, 3795, 11987, 7891, 16083,
    467,  8659, 4563, 12755, 2515, 10707, 6611, 14803, 1491, 9683,  5587, 13779, 3539, 11731, 7635, 15827,
    979,  9171, 5075, 13267, 3027, 11219, 7123, 15315, 2003, 10195, 6099, 14291, 4051, 12243, 8147, 16339,
    51,   8243, 4147, 12339, 2099, 10291, 6195, 14387, 1075, 9267,  5171, 13363, 3123, 11315, 7219, 15411,
    563,  8755, 4659, 12851, 2611, 10803, 6707, 14899, 1587, 9779,  5683, 13875, 3635, 11827, 7731, 15923,
    307,  8499, 4403, 12595, 2355, 10547, 6451, 14643, 1331, 9523,  5427, 13619, 3379, 11571, 7475, 15667,
    819,  9011, 4915, 13107, 2867, 11059, 6963, 15155, 1843, 10035, 5939, 14131, 3891, 12083, 7987, 16179,
    179,  8371, 4275, 12467, 2227, 10419, 6323, 14515, 1203, 9395,  5299, 13491, 3251, 11443, 7347, 15539,
    691,  8883, 4787, 12979, 2739, 10931, 6835, 15027, 1715, 9907,  5811, 14003, 3763, 11955, 7859, 16051,
    435,  8627, 4531, 12723, 2483, 10675, 6579, 14771, 1459, 9651,  5555, 13747, 3507, 11699, 7603, 15795,
    947,  9139, 5043, 13235, 2995, 11187, 7091, 15283, 1971, 10163, 6067, 14259, 4019, 12211, 8115, 16307,
    115,  8307, 4211, 12403, 2163, 10355, 6259, 14451, 1139, 9331,  5235, 13427, 3187, 11379, 7283, 15475,
    627,  8819, 4723, 12915, 2675, 10867, 6771, 14963, 1651, 9843,  5747, 13939, 3699, 11891, 7795, 15987,
    371,  8563, 4467, 12659, 2419, 10611, 6515, 14707, 1395, 9587,  5491, 13683, 3443, 11635, 7539, 15731,
    883,  9075, 4979, 13171, 2931, 11123, 7027, 15219, 1907, 10099, 6003, 14195, 3955, 12147, 8051, 16243,
    243,  8435, 4339, 12531, 2291, 10483, 6387, 14579, 1267, 9459,  5363, 13555, 3315, 11507, 7411, 15603,
    755,  8947, 4851, 13043, 2803, 10995, 6899, 15091, 1779, 9971,  5875, 14067, 3827, 12019, 7923, 16115,
    499,  8691, 4595, 12787, 2547, 10739, 6643, 14835, 1523, 9715,  5619, 13811, 3571, 11763, 7667, 15859,
    1011, 9203, 5107, 13299, 3059, 11251, 7155, 15347, 2035, 10227, 6131, 14323, 4083, 12275, 8179, 16371,
    11,   8203, 4107, 12299, 2059, 10251, 6155, 14347, 1035, 9227,  5131, 13323, 3083, 11275, 7179, 15371,
    523,  8715, 4619, 12811, 2571, 10763, 6667, 14859, 1547, 9739,  5643, 13835, 3595, 11787, 7691, 15883,
    267,  8459, 4363, 12555, 2315, 10507, 6411, 14603, 1291, 9483,  5387, 13579, 3339, 11531, 7435, 15627,
    779,  8971, 4875, 13067, 2827, 11019, 6923, 15115, 1803, 9995,  5899, 14091, 3851, 12043, 7947, 16139,
    139,  8331, 4235, 12427, 2187, 10379, 6283, 14475, 1163, 9355,  5259, 13451, 3211, 11403, 7307, 15499,
    651,  8843, 4747, 12939, 2699, 10891, 6795, 14987, 1675, 9867,  5771, 13963, 3723, 11915, 7819, 16011,
    395,  8587, 4491, 12683, 2443, 10635, 6539, 14731, 1419, 9611,  5515, 13707, 3467, 11659, 7563, 15755,
    907,  9099, 5003, 13195, 2955, 11147, 7051, 15243, 1931, 10123, 6027, 14219, 3979, 12171, 8075, 16267,
    75,   8267, 4171, 12363, 2123, 10315, 6219, 14411, 1099, 9291,  5195, 13387, 3147, 11339, 7243, 15435,
    587,  8779, 4683, 12875, 2635, 10827, 6731, 14923, 1611, 9803,  5707, 13899, 3659, 11851, 7755, 15947,
    331,  8523, 4427, 12619, 2379, 10571, 6475, 14667, 1355, 9547,  5451, 13643, 3403, 11595, 7499, 15691,
    843,  9035, 4939, 13131, 2891, 11083, 6987, 15179, 1867, 10059, 5963, 14155, 3915, 12107, 8011, 16203,
    203,  8395, 4299, 12491, 2251, 10443, 6347, 14539, 1227, 9419,  5323, 13515, 3275, 11467, 7371, 15563,
    715,  8907, 4811, 13003, 2763, 10955, 6859, 15051, 1739, 9931,  5835, 14027, 3787, 11979, 7883, 16075,
    459,  8651, 4555, 12747, 2507, 10699, 6603, 14795, 1483, 9675,  5579, 13771, 3531, 11723, 7627, 15819,
    971,  9163, 5067, 13259, 3019, 11211, 7115, 15307, 1995, 10187, 6091, 14283, 4043, 12235, 8139, 16331,
    43,   8235, 4139, 12331, 2091, 10283, 6187, 14379, 1067, 9259,  5163, 13355, 3115, 11307, 7211, 15403,
    555,  8747, 4651, 12843, 2603, 10795, 6699, 14891, 1579, 9771,  5675, 13867, 3627, 11819, 7723, 15915,
    299,  8491, 4395, 12587, 2347, 10539, 6443, 14635, 1323, 9515,  5419, 13611, 3371, 11563, 7467, 15659,
    811,  9003, 4907, 13099, 2859, 11051, 6955, 15147, 1835, 10027, 5931, 14123, 3883, 12075, 7979, 16171,
    171,  8363, 4267, 12459, 2219, 10411, 6315, 14507, 1195, 9387,  5291, 13483, 3243, 11435, 7339, 15531,
    683,  8875, 4779, 12971, 2731, 10923, 6827, 15019, 1707, 9899,  5803, 13995, 3755, 11947, 7851, 16043,
    427,  8619, 4523, 12715, 2475, 10667, 6571, 14763, 1451, 9643,  5547, 13739, 3499, 11691, 7595, 15787,
    939,  9131, 5035, 13227, 2987, 11179, 7083, 15275, 1963, 10155, 6059, 14251, 4011, 12203, 8107, 16299,
    107,  8299, 4203, 12395, 2155, 10347, 6251, 14443, 1131, 9323,  5227, 13419, 3179, 11371, 7275, 15467,
    619,  8811, 4715, 12907, 2667, 10859, 6763, 14955, 1643, 9835,  5739, 13931, 3691, 11883, 7787, 15979,
    363,  8555, 4459, 12651, 2411, 10603, 6507, 14699, 1387, 9579,  5483, 13675, 3435, 11627, 7531, 15723,
    875,  9067, 4971, 13163, 2923, 11115, 7019, 15211, 1899, 10091, 5995, 14187, 3947, 12139, 8043, 16235,
    235,  8427, 4331, 12523, 2283, 10475, 6379, 14571, 1259, 9451,  5355, 13547, 3307, 11499, 7403, 15595,
    747,  8939, 4843, 13035, 2795, 10987, 6891, 15083, 1771, 9963,  5867, 14059, 3819, 12011, 7915, 16107,
    491,  8683, 4587, 12779, 2539, 10731, 6635, 14827, 1515, 9707,  5611, 13803, 3563, 11755, 7659, 15851,
    1003, 9195, 5099, 13291, 3051, 11243, 7147, 15339, 2027, 10219, 6123, 14315, 4075, 12267, 8171, 16363,
    27,   8219, 4123, 12315, 2075, 10267, 6171, 14363, 1051, 9243,  5147, 13339, 3099, 11291, 7195, 15387,
    539,  8731, 4635, 12827, 2587, 10779, 6683, 14875, 1563, 9755,  5659, 13851, 3611, 11803, 7707, 15899,
    283,  8475, 4379, 12571, 2331, 10523, 6427, 14619, 1307, 9499,  5403, 13595, 3355, 11547, 7451, 15643,
    795,  8987, 4891, 13083, 2843, 11035, 6939, 15131, 1819, 10011, 5915, 14107, 3867, 12059, 7963, 16155,
    155,  8347, 4251, 12443, 2203, 10395, 6299, 14491, 1179, 9371,  5275, 13467, 3227, 11419, 7323, 15515,
    667,  8859, 4763, 12955, 2715, 10907, 6811, 15003, 1691, 9883,  5787, 13979, 3739, 11931, 7835, 16027,
    411,  8603, 4507, 12699, 2459, 10651, 6555, 14747, 1435, 9627,  5531, 13723, 3483, 11675, 7579, 15771,
    923,  9115, 5019, 13211, 2971, 11163, 7067, 15259, 1947, 10139, 6043, 14235, 3995, 12187, 8091, 16283,
    91,   8283, 4187, 12379, 2139, 10331, 6235, 14427, 1115, 9307,  5211, 13403, 3163, 11355, 7259, 15451,
    603,  8795, 4699, 12891, 2651, 10843, 6747, 14939, 1627, 9819,  5723, 13915, 3675, 11867, 7771, 15963,
    347,  8539, 4443, 12635, 2395, 10587, 6491, 14683, 1371, 9563,  5467, 13659, 3419, 11611, 7515, 15707,
    859,  9051, 4955, 13147, 2907, 11099, 7003, 15195, 1883, 10075, 5979, 14171, 3931, 12123, 8027, 16219,
    219,  8411, 4315, 12507, 2267, 10459, 6363, 14555, 1243, 9435,  5339, 13531, 3291, 11483, 7387, 15579,
    731,  8923, 4827, 13019, 2779, 10971, 6875, 15067, 1755, 9947,  5851, 14043, 3803, 11995, 7899, 16091,
    475,  8667, 4571, 12763, 2523, 10715, 6619, 14811, 1499, 9691,  5595, 13787, 3547, 11739, 7643, 15835,
    987,  9179, 5083, 13275, 3035, 11227, 7131, 15323, 2011, 10203, 6107, 14299, 4059, 12251, 8155, 16347,
    59,   8251, 4155, 12347, 2107, 10299, 6203, 14395, 1083, 9275,  5179, 13371, 3131, 11323, 7227, 15419,
    571,  8763, 4667, 12859, 2619, 10811, 6715, 14907, 1595, 9787,  5691, 13883, 3643, 11835, 7739, 15931,
    315,  8507, 4411, 12603, 2363, 10555, 6459, 14651, 1339, 9531,  5435, 13627, 3387, 11579, 7483, 15675,
    827,  9019, 4923, 13115, 2875, 11067, 6971, 15163, 1851, 10043, 5947, 14139, 3899, 12091, 7995, 16187,
    187,  8379, 4283, 12475, 2235, 10427, 6331, 14523, 1211, 9403,  5307, 13499, 3259, 11451, 7355, 15547,
    699,  8891, 4795, 12987, 2747, 10939, 6843, 15035, 1723, 9915,  5819, 14011, 3771, 11963, 7867, 16059,
    443,  8635, 4539, 12731, 2491, 10683, 6587, 14779, 1467, 9659,  5563, 13755, 3515, 11707, 7611, 15803,
    955,  9147, 5051, 13243, 3003, 11195, 7099, 15291, 1979, 10171, 6075, 14267, 4027, 12219, 8123, 16315,
    123,  8315, 4219, 12411, 2171, 10363, 6267, 14459, 1147, 9339,  5243, 13435, 3195, 11387, 7291, 15483,
    635,  8827, 4731, 12923, 2683, 10875, 6779, 14971, 1659, 9851,  5755, 13947, 3707, 11899, 7803, 15995,
    379,  8571, 4475, 12667, 2427, 10619, 6523, 14715, 1403, 9595,  5499, 13691, 3451, 11643, 7547, 15739,
    891,  9083, 4987, 13179, 2939, 11131, 7035, 15227, 1915, 10107, 6011, 14203, 3963, 12155, 8059, 16251,
    251,  8443, 4347, 12539, 2299, 10491, 6395, 14587, 1275, 9467,  5371, 13563, 3323, 11515, 7419, 15611,
    763,  8955, 4859, 13051, 2811, 11003, 6907, 15099, 1787, 9979,  5883, 14075, 3835, 12027, 7931, 16123,
    507,  8699, 4603, 12795, 2555, 10747, 6651, 14843, 1531, 9723,  5627, 13819, 3579, 11771, 7675, 15867,
    1019, 9211, 5115, 13307, 3067, 11259, 7163, 15355, 2043, 10235, 6139, 14331, 4091, 12283, 8187, 16379,
    7,    8199, 4103, 12295, 2055, 10247, 6151, 14343, 1031, 9223,  5127, 13319, 3079, 11271, 7175, 15367,
    519,  8711, 4615, 12807, 2567, 10759, 6663, 14855, 1543, 9735,  5639, 13831, 3591, 11783, 7687, 15879,
    263,  8455, 4359, 12551, 2311, 10503, 6407, 14599, 1287, 9479,  5383, 13575, 3335, 11527, 7431, 15623,
    775,  8967, 4871, 13063, 2823, 11015, 6919, 15111, 1799, 9991,  5895, 14087, 3847, 12039, 7943, 16135,
    135,  8327, 4231, 12423, 2183, 10375, 6279, 14471, 1159, 9351,  5255, 13447, 3207, 11399, 7303, 15495,
    647,  8839, 4743, 12935, 2695, 10887, 6791, 14983, 1671, 9863,  5767, 13959, 3719, 11911, 7815, 16007,
    391,  8583, 4487, 12679, 2439, 10631, 6535, 14727, 1415, 9607,  5511, 13703, 3463, 11655, 7559, 15751,
    903,  9095, 4999, 13191, 2951, 11143, 7047, 15239, 1927, 10119, 6023, 14215, 3975, 12167, 8071, 16263,
    71,   8263, 4167, 12359, 2119, 10311, 6215, 14407, 1095, 9287,  5191, 13383, 3143, 11335, 7239, 15431,
    583,  8775, 4679, 12871, 2631, 10823, 6727, 14919, 1607, 9799,  5703, 13895, 3655, 11847, 7751, 15943,
    327,  8519, 4423, 12615, 2375, 10567, 6471, 14663, 1351, 9543,  5447, 13639, 3399, 11591, 7495, 15687,
    839,  9031, 4935, 13127, 2887, 11079, 6983, 15175, 1863, 10055, 5959, 14151, 3911, 12103, 8007, 16199,
    199,  8391, 4295, 12487, 2247, 10439, 6343, 14535, 1223, 9415,  5319, 13511, 3271, 11463, 7367, 15559,
    711,  8903, 4807, 12999, 2759, 10951, 6855, 15047, 1735, 9927,  5831, 14023, 3783, 11975, 7879, 16071,
    455,  8647, 4551, 12743, 2503, 10695, 6599, 14791, 1479, 9671,  5575, 13767, 3527, 11719, 7623, 15815,
    967,  9159, 5063, 13255, 3015, 11207, 7111, 15303, 1991, 10183, 6087, 14279, 4039, 12231, 8135, 16327,
    39,   8231, 4135, 12327, 2087, 10279, 6183, 14375, 1063, 9255,  5159, 13351, 3111, 11303, 7207, 15399,
    551,  8743, 4647, 12839, 2599, 10791, 6695, 14887, 1575, 9767,  5671, 13863, 3623, 11815, 7719, 15911,
    295,  8487, 4391, 12583, 2343, 10535, 6439, 14631, 1319, 9511,  5415, 13607, 3367, 11559, 7463, 15655,
    807,  8999, 4903, 13095, 2855, 11047, 6951, 15143, 1831, 10023, 5927, 14119, 3879, 12071, 7975, 16167,
    167,  8359, 4263, 12455, 2215, 10407, 6311, 14503, 1191, 9383,  5287, 13479, 3239, 11431, 7335, 15527,
    679,  8871, 4775, 12967, 2727, 10919, 6823, 15015, 1703, 9895,  5799, 13991, 3751, 11943, 7847, 16039,
    423,  8615, 4519, 12711, 2471, 10663, 6567, 14759, 1447, 9639,  5543, 13735, 3495, 11687, 7591, 15783,
    935,  9127, 5031, 13223, 2983, 11175, 7079, 15271, 1959, 10151, 6055, 14247, 4007, 12199, 8103, 16295,
    103,  8295, 4199, 12391, 2151, 10343, 6247, 14439, 1127, 9319,  5223, 13415, 3175, 11367, 7271, 15463,
    615,  8807, 4711, 12903, 2663, 10855, 6759, 14951, 1639, 9831,  5735, 13927, 3687, 11879, 7783, 15975,
    359,  8551, 4455, 12647, 2407, 10599, 6503, 14695, 1383, 9575,  5479, 13671, 3431, 11623, 7527, 15719,
    871,  9063, 4967, 13159, 2919, 11111, 7015, 15207, 1895, 10087, 5991, 14183, 3943, 12135, 8039, 16231,
    231,  8423, 4327, 12519, 2279, 10471, 6375, 14567, 1255, 9447,  5351, 13543, 3303, 11495, 7399, 15591,
    743,  8935, 4839, 13031, 2791, 10983, 6887, 15079, 1767, 9959,  5863, 14055, 3815, 12007, 7911, 16103,
    487,  8679, 4583, 12775, 2535, 10727, 6631, 14823, 1511, 9703,  5607, 13799, 3559, 11751, 7655, 15847,
    999,  9191, 5095, 13287, 3047, 11239, 7143, 15335, 2023, 10215, 6119, 14311, 4071, 12263, 8167, 16359,
    23,   8215, 4119, 12311, 2071, 10263, 6167, 14359, 1047, 9239,  5143, 13335, 3095, 11287, 7191, 15383,
    535,  8727, 4631, 12823, 2583, 10775, 6679, 14871, 1559, 9751,  5655, 13847, 3607, 11799, 7703, 15895,
    279,  8471, 4375, 12567, 2327, 10519, 6423, 14615, 1303, 9495,  5399, 13591, 3351, 11543, 7447, 15639,
    791,  8983, 4887, 13079, 2839, 11031, 6935, 15127, 1815, 10007, 5911, 14103, 3863, 12055, 7959, 16151,
    151,  8343, 4247, 12439, 2199, 10391, 6295, 14487, 1175, 9367,  5271, 13463, 3223, 11415, 7319, 15511,
    663,  8855, 4759, 12951, 2711, 10903, 6807, 14999, 1687, 9879,  5783, 13975, 3735, 11927, 7831, 16023,
    407,  8599, 4503, 12695, 2455, 10647, 6551, 14743, 1431, 9623,  5527, 13719, 3479, 11671, 7575, 15767,
    919,  9111, 5015, 13207, 2967, 11159, 7063, 15255, 1943, 10135, 6039, 14231, 3991, 12183, 8087, 16279,
    87,   8279, 4183, 12375, 2135, 10327, 6231, 14423, 1111, 9303,  5207, 13399, 3159, 11351, 7255, 15447,
    599,  8791, 4695, 12887, 2647, 10839, 6743, 14935, 1623, 9815,  5719, 13911, 3671, 11863, 7767, 15959,
    343,  8535, 4439, 12631, 2391, 10583, 6487, 14679, 1367, 9559,  5463, 13655, 3415, 11607, 7511, 15703,
    855,  9047, 4951, 13143, 2903, 11095, 6999, 15191, 1879, 10071, 5975, 14167, 3927, 12119, 8023, 16215,
    215,  8407, 4311, 12503, 2263, 10455, 6359, 14551, 1239, 9431,  5335, 13527, 3287, 11479, 7383, 15575,
    727,  8919, 4823, 13015, 2775, 10967, 6871, 15063, 1751, 9943,  5847, 14039, 3799, 11991, 7895, 16087,
    471,  8663, 4567, 12759, 2519, 10711, 6615, 14807, 1495, 9687,  5591, 13783, 3543, 11735, 7639, 15831,
    983,  9175, 5079, 13271, 3031, 11223, 7127, 15319, 2007, 10199, 6103, 14295, 4055, 12247, 8151, 16343,
    55,   8247, 4151, 12343, 2103, 10295, 6199, 14391, 1079, 9271,  5175, 13367, 3127, 11319, 7223, 15415,
    567,  8759, 4663, 12855, 2615, 10807, 6711, 14903, 1591, 9783,  5687, 13879, 3639, 11831, 7735, 15927,
    311,  8503, 4407, 12599, 2359, 10551, 6455, 14647, 1335, 9527,  5431, 13623, 3383, 11575, 7479, 15671,
    823,  9015, 4919, 13111, 2871, 11063, 6967, 15159, 1847, 10039, 5943, 14135, 3895, 12087, 7991, 16183,
    183,  8375, 4279, 12471, 2231, 10423, 6327, 14519, 1207, 9399,  5303, 13495, 3255, 11447, 7351, 15543,
    695,  8887, 4791, 12983, 2743, 10935, 6839, 15031, 1719, 9911,  5815, 14007, 3767, 11959, 7863, 16055,
    439,  8631, 4535, 12727, 2487, 10679, 6583, 14775, 1463, 9655,  5559, 13751, 3511, 11703, 7607, 15799,
    951,  9143, 5047, 13239, 2999, 11191, 7095, 15287, 1975, 10167, 6071, 14263, 4023, 12215, 8119, 16311,
    119,  8311, 4215, 12407, 2167, 10359, 6263, 14455, 1143, 9335,  5239, 13431, 3191, 11383, 7287, 15479,
    631,  8823, 4727, 12919, 2679, 10871, 6775, 14967, 1655, 9847,  5751, 13943, 3703, 11895, 7799, 15991,
    375,  8567, 4471, 12663, 2423, 10615, 6519, 14711, 1399, 9591,  5495, 13687, 3447, 11639, 7543, 15735,
    887,  9079, 4983, 13175, 2935, 11127, 7031, 15223, 1911, 10103, 6007, 14199, 3959, 12151, 8055, 16247,
    247,  8439, 4343, 12535, 2295, 10487, 6391, 14583, 1271, 9463,  5367, 13559, 3319, 11511, 7415, 15607,
    759,  8951, 4855, 13047, 2807, 10999, 6903, 15095, 1783, 9975,  5879, 14071, 3831, 12023, 7927, 16119,
    503,  8695, 4599, 12791, 2551, 10743, 6647, 14839, 1527, 9719,  5623, 13815, 3575, 11767, 7671, 15863,
    1015, 9207, 5111, 13303, 3063, 11255, 7159, 15351, 2039, 10231, 6135, 14327, 4087, 12279, 8183, 16375,
    15,   8207, 4111, 12303, 2063, 10255, 6159, 14351, 1039, 9231,  5135, 13327, 3087, 11279, 7183, 15375,
    527,  8719, 4623, 12815, 2575, 10767, 6671, 14863, 1551, 9743,  5647, 13839, 3599, 11791, 7695, 15887,
    271,  8463, 4367, 12559, 2319, 10511, 6415, 14607, 1295, 9487,  5391, 13583, 3343, 11535, 7439, 15631,
    783,  8975, 4879, 13071, 2831, 11023, 6927, 15119, 1807, 9999,  5903, 14095, 3855, 12047, 7951, 16143,
    143,  8335, 4239, 12431, 2191, 10383, 6287, 14479, 1167, 9359,  5263, 13455, 3215, 11407, 7311, 15503,
    655,  8847, 4751, 12943, 2703, 10895, 6799, 14991, 1679, 9871,  5775, 13967, 3727, 11919, 7823, 16015,
    399,  8591, 4495, 12687, 2447, 10639, 6543, 14735, 1423, 9615,  5519, 13711, 3471, 11663, 7567, 15759,
    911,  9103, 5007, 13199, 2959, 11151, 7055, 15247, 1935, 10127, 6031, 14223, 3983, 12175, 8079, 16271,
    79,   8271, 4175, 12367, 2127, 10319, 6223, 14415, 1103, 9295,  5199, 13391, 3151, 11343, 7247, 15439,
    591,  8783, 4687, 12879, 2639, 10831, 6735, 14927, 1615, 9807,  5711, 13903, 3663, 11855, 7759, 15951,
    335,  8527, 4431, 12623, 2383, 10575, 6479, 14671, 1359, 9551,  5455, 13647, 3407, 11599, 7503, 15695,
    847,  9039, 4943, 13135, 2895, 11087, 6991, 15183, 1871, 10063, 5967, 14159, 3919, 12111, 8015, 16207,
    207,  8399, 4303, 12495, 2255, 10447, 6351, 14543, 1231, 9423,  5327, 13519, 3279, 11471, 7375, 15567,
    719,  8911, 4815, 13007, 2767, 10959, 6863, 15055, 1743, 9935,  5839, 14031, 3791, 11983, 7887, 16079,
    463,  8655, 4559, 12751, 2511, 10703, 6607, 14799, 1487, 9679,  5583, 13775, 3535, 11727, 7631, 15823,
    975,  9167, 5071, 13263, 3023, 11215, 7119, 15311, 1999, 10191, 6095, 14287, 4047, 12239, 8143, 16335,
    47,   8239, 4143, 12335, 2095, 10287, 6191, 14383, 1071, 9263,  5167, 13359, 3119, 11311, 7215, 15407,
    559,  8751, 4655, 12847, 2607, 10799, 6703, 14895, 1583, 9775,  5679, 13871, 3631, 11823, 7727, 15919,
    303,  8495, 4399, 12591, 2351, 10543, 6447, 14639, 1327, 9519,  5423, 13615, 3375, 11567, 7471, 15663,
    815,  9007, 4911, 13103, 2863, 11055, 6959, 15151, 1839, 10031, 5935, 14127, 3887, 12079, 7983, 16175,
    175,  8367, 4271, 12463, 2223, 10415, 6319, 14511, 1199, 9391,  5295, 13487, 3247, 11439, 7343, 15535,
    687,  8879, 4783, 12975, 2735, 10927, 6831, 15023, 1711, 9903,  5807, 13999, 3759, 11951, 7855, 16047,
    431,  8623, 4527, 12719, 2479, 10671, 6575, 14767, 1455, 9647,  5551, 13743, 3503, 11695, 7599, 15791,
    943,  9135, 5039, 13231, 2991, 11183, 7087, 15279, 1967, 10159, 6063, 14255, 4015, 12207, 8111, 16303,
    111,  8303, 4207, 12399, 2159, 10351, 6255, 14447, 1135, 9327,  5231, 13423, 3183, 11375, 7279, 15471,
    623,  8815, 4719, 12911, 2671, 10863, 6767, 14959, 1647, 9839,  5743, 13935, 3695, 11887, 7791, 15983,
    367,  8559, 4463, 12655, 2415, 10607, 6511, 14703, 1391, 9583,  5487, 13679, 3439, 11631, 7535, 15727,
    879,  9071, 4975, 13167, 2927, 11119, 7023, 15215, 1903, 10095, 5999, 14191, 3951, 12143, 8047, 16239,
    239,  8431, 4335, 12527, 2287, 10479, 6383, 14575, 1263, 9455,  5359, 13551, 3311, 11503, 7407, 15599,
    751,  8943, 4847, 13039, 2799, 10991, 6895, 15087, 1775, 9967,  5871, 14063, 3823, 12015, 7919, 16111,
    495,  8687, 4591, 12783, 2543, 10735, 6639, 14831, 1519, 9711,  5615, 13807, 3567, 11759, 7663, 15855,
    1007, 9199, 5103, 13295, 3055, 11247, 7151, 15343, 2031, 10223, 6127, 14319, 4079, 12271, 8175, 16367,
    31,   8223, 4127, 12319, 2079, 10271, 6175, 14367, 1055, 9247,  5151, 13343, 3103, 11295, 7199, 15391,
    543,  8735, 4639, 12831, 2591, 10783, 6687, 14879, 1567, 9759,  5663, 13855, 3615, 11807, 7711, 15903,
    287,  8479, 4383, 12575, 2335, 10527, 6431, 14623, 1311, 9503,  5407, 13599, 3359, 11551, 7455, 15647,
    799,  8991, 4895, 13087, 2847, 11039, 6943, 15135, 1823, 10015, 5919, 14111, 3871, 12063, 7967, 16159,
    159,  8351, 4255, 12447, 2207, 10399, 6303, 14495, 1183, 9375,  5279, 13471, 3231, 11423, 7327, 15519,
    671,  8863, 4767, 12959, 2719, 10911, 6815, 15007, 1695, 9887,  5791, 13983, 3743, 11935, 7839, 16031,
    415,  8607, 4511, 12703, 2463, 10655, 6559, 14751, 1439, 9631,  5535, 13727, 3487, 11679, 7583, 15775,
    927,  9119, 5023, 13215, 2975, 11167, 7071, 15263, 1951, 10143, 6047, 14239, 3999, 12191, 8095, 16287,
    95,   8287, 4191, 12383, 2143, 10335, 6239, 14431, 1119, 9311,  5215, 13407, 3167, 11359, 7263, 15455,
    607,  8799, 4703, 12895, 2655, 10847, 6751, 14943, 1631, 9823,  5727, 13919, 3679, 11871, 7775, 15967,
    351,  8543, 4447, 12639, 2399, 10591, 6495, 14687, 1375, 9567,  5471, 13663, 3423, 11615, 7519, 15711,
    863,  9055, 4959, 13151, 2911, 11103, 7007, 15199, 1887, 10079, 5983, 14175, 3935, 12127, 8031, 16223,
    223,  8415, 4319, 12511, 2271, 10463, 6367, 14559, 1247, 9439,  5343, 13535, 3295, 11487, 7391, 15583,
    735,  8927, 4831, 13023, 2783, 10975, 6879, 15071, 1759, 9951,  5855, 14047, 3807, 11999, 7903, 16095,
    479,  8671, 4575, 12767, 2527, 10719, 6623, 14815, 1503, 9695,  5599, 13791, 3551, 11743, 7647, 15839,
    991,  9183, 5087, 13279, 3039, 11231, 7135, 15327, 2015, 10207, 6111, 14303, 4063, 12255, 8159, 16351,
    63,   8255, 4159, 12351, 2111, 10303, 6207, 14399, 1087, 9279,  5183, 13375, 3135, 11327, 7231, 15423,
    575,  8767, 4671, 12863, 2623, 10815, 6719, 14911, 1599, 9791,  5695, 13887, 3647, 11839, 7743, 15935,
    319,  8511, 4415, 12607, 2367, 10559, 6463, 14655, 1343, 9535,  5439, 13631, 3391, 11583, 7487, 15679,
    831,  9023, 4927, 13119, 2879, 11071, 6975, 15167, 1855, 10047, 5951, 14143, 3903, 12095, 7999, 16191,
    191,  8383, 4287, 12479, 2239, 10431, 6335, 14527, 1215, 9407,  5311, 13503, 3263, 11455, 7359, 15551,
    703,  8895, 4799, 12991, 2751, 10943, 6847, 15039, 1727, 9919,  5823, 14015, 3775, 11967, 7871, 16063,
    447,  8639, 4543, 12735, 2495, 10687, 6591, 14783, 1471, 9663,  5567, 13759, 3519, 11711, 7615, 15807,
    959,  9151, 5055, 13247, 3007, 11199, 7103, 15295, 1983, 10175, 6079, 14271, 4031, 12223, 8127, 16319,
    127,  8319, 4223, 12415, 2175, 10367, 6271, 14463, 1151, 9343,  5247, 13439, 3199, 11391, 7295, 15487,
    639,  8831, 4735, 12927, 2687, 10879, 6783, 14975, 1663, 9855,  5759, 13951, 3711, 11903, 7807, 15999,
    383,  8575, 4479, 12671, 2431, 10623, 6527, 14719, 1407, 9599,  5503, 13695, 3455, 11647, 7551, 15743,
    895,  9087, 4991, 13183, 2943, 11135, 7039, 15231, 1919, 10111, 6015, 14207, 3967, 12159, 8063, 16255,
    255,  8447, 4351, 12543, 2303, 10495, 6399, 14591, 1279, 9471,  5375, 13567, 3327, 11519, 7423, 15615,
    767,  8959, 4863, 13055, 2815, 11007, 6911, 15103, 1791, 9983,  5887, 14079, 3839, 12031, 7935, 16127,
    511,  8703, 4607, 12799, 2559, 10751, 6655, 14847, 1535, 9727,  5631, 13823, 3583, 11775, 7679, 15871,
    1023, 9215, 5119, 13311, 3071, 11263, 7167, 15359, 2047, 10239, 6143, 14335, 4095, 12287, 8191, 16383,
};
}
} // namespace kfr
